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Not that it makes much of a difference, but storing 10 EB on AWS S3 is more like 300 million USD a month. With some tiering options you can reduce that a bit further, but still it's a huge number. Following your link you seem to have used FSx Lustre for calculation, not S3.
That calculation may also take into account upload and download bandwidth. And I know there are like 100 different cloud products in the AWS console. I don’t know much about high scale performance tuning but I bet dozens of those AWS services would be involved in something like youtube.