Please help: remove prefix of exported database name?

Hello there,
When I backup sql database through cpanel, I get a file with name: oldaccount_database (oldaccount is name of my old host account). Now I import that file to new account, then a new prefix is added to that name and it becomes newaccount_oldaccount_database. This is very odd and after many times moving server, I get a very long name. How can I remove the prefix of exported database name?
Thanks,

See original post by hungvn9