Everyone's had that problem where they go to upload their massive database through PHPMyAdmin only to find that it times out halfway through. Here's a much easier, faster, and way cooler way to do it.
First, what you're going to want to do is upload the actual .sql file in to your /home/username/ directory. Once that is done, login to SSH (Assuming you have it, if not you can request it from your host) and run the command cd /home/username/ just to make sure you're in your home directory. Then, to import the database run;
mysql -uUsername -pPassword database_name < username.sql.
Now, to do a quick export of a mysql database to your home directory you can run the command;
mysqldump -uUSERNAME -pPASSWORD database_name < /home/username/database.sql