Eventually they've go away, but not likely for some time. Look at some of the businesses have already gone that nobody believed would because they have been in business for so long. A lot of the businesses (Physical Buildings not online businesses) that started at the end of the 1800s into the early 1900s are no longer with us, or those that are have downsized considerably. FW Woolworths, Sears is a LOT smaller, Ben Franklin 5 & 10, Montgomery Wards, and many many more.

There may not even be an Internet, as we know it today, at all in another 10 to 20 years. No more cable or DSL connections it'll be all wireless with some sort of tower, like cell phone towers covering the entire world. In the middle of the Congo on safari with no phone or cable service? No problem 24 hour a day unmanned drones acting like repeaters giving you access to the closest tower to complete your connection.

Every business will either evolve to meet changing demands, or they'll become unprofitable and shut their doors. Whether this takes a short amount of time or a long amount of time depends on a lot of factors, like the technologies mentioned by SamJS, customer preferences, competing products and services that become available, and the company's own operations.

I think both Google and Amazon do an outstanding job of innovation, which gives them an edge that will help them stick around for quite a while. But if technology shifted in such a way that people abandoned the Internet model, it could affect them a lot. For instance, even though SOPA was withdrawn, there's still another threat to the Internet's freedom of information. The Anti-Counterfeiting Trade Agreement (ACTA), if passed, could change the way the Internet is used. This could result in many people turning away from the web for entertainment and communications and decrease ad revenue in turn. With ad revenue vanishing, both of these companies would face a serious threat and have to find new ways to be profitable.

I dont know if any site goes down first it will probably be Amazon. Google is so diversified even if Android for example busted they would still stay afloat.Only time will tell if these two companys will fail.

Not forever but I think they will last for a very long time. Google is huge and they have multiple income streams. Amazon should survive for a while because it is one of the most trusted sites for buying books. If people stop buying paper books amazon could focus on selling downloadable e-books.

I don't think they will file for bankruptcy. But one day human will have better alternatives than Google and Amazon that's for sure. No one can say when that is going to happen but everything won't stay top. It is true that they will last for a very long time.

Google and Amazon are very stable businesses. Google got a foothold early on in the game and it'll be tough for anyone to really leverage them out of the search engine/online world. Amazon is, in my opinion, a little more exposed because it is a retail site. However, I think Amazon is a real force to be reckoned with and I doubt that any competetor will take them out anytime soon.

That said, I am not willing to bet that any business will ALWAYS be around. After all, eventually, the earth will spin into the sun, which will turn into a red giant and obliterate everything... right?

It think both of these sites are pretty strong. They stay competitive and on the leading edge. From personal experience Amazon carries a lot more than say Chapters/Indigo on-line. Amazon is linked with many used book sites as well so when searching for a book it will give you both a new and used price. I don't know a single person who uses a different search engine than Google.
Change will happen but I would be very surprised if either one of these giants will be gone in our life time. Even though major retailers are disappearing on mass it is in part because of these two internet staples that walk in stores are closing down.
Forever is a mighty long time. Perhaps the question should be do you think Google and Amazon will go on as long as there is a humanity, but even then who can speculate what our needs will be a hundred years from now?

Businesses must always change and adapt if they are going to stay strong and survive. If Google and Amazon stay in tune with any changing trends in their industry, then they will be fine for many years to come. Where businesses get into trouble is when they fail to see that things are changing and they try to persist on with business as usual. This was recently seen with the Kodak company that for many years was the biggest player in the production of film for cameras. When digital cameras came on the scene, Kodak was not quick enough to adapt and now they are growing more and more obsolete.

That being said, it's hard for any business to still be vibrant and growing 100 years after they were founded. The conditions and needs of society can change so much in that amount of time, and new business are always starting, so it makes it hard for the old existing businesses to still be attractive to consumers even if they have tried their best to adapt. It's most likely that Google and Amazon will be big players until some major shift happens in what consumers want and/or need and some new upstart comes along that people feel can fill that need better.

Google and Amazon both look strong at this time and the future looks bright. Still, the internet (and the world as a whole) are always changing and it can be difficult to predict the future.

If both sites continue to evolve as the internet changes then I believe they will be around for a long time. If not, there will be another company ready to jump in and reap the rewards.

Yeah, this question make me stop pause and think, and i end up reading all the replies here. What i like most is as said above, they may last longer, but then human might find a better option that amazon and google.
If you ask me i don't think this two website will last forever.
Probably they might be sold to some new owners who will then change their name to something else.

In business there is always something that will eventually come along to unseat a particularly dominamnt position in the market. Think back to just retail stores, for example, which today is a very different landscape than it once was. Big players in the market some years ago were stores like Gimbel's, Woolworth's, and Sears. Today two of those stores are completely gone, and the latter is a mere speck compared to it's once very strong position. Google is the leader now in its field. Someone will eventually come around with a better idea, and a better business model for it, and they will take the lead. The question is when. The same will be the case with Amazon, which could have a life and a fate somewhere down the road similar to the Sears catalog.

At some point yes both sites will no longer exist, but that won't be for a long time especially for Google which seems to own everything.