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No, it is a start-up

Yes, I know but how could be startup or wallet called Blockchain?

Blockchain is a start up that allows users to have a bitcoin wallet in the internet

https://www.blockchain.com/

I thought that this is technology, never thought that beside this is a company with same name...

Yes, there is also the technology, but a start-up was created using this same name.

Yes, probably for the wider reach