The process is called backporting. There is (was) an official backports repository for 6.10 but it won't cover what you need.
6.10 went "end of life" over two and a half years ago. This means you're probably missing some serious patches that you need to stay secure. Is there a reason you're not upgrading the whole system?
Upgrading from such an old non-LTS release to current might take a very, very long time. You're probably in a position where a fresh install of the latest is the best plan of action.
But at this point, short of finding a PPA (are they even compatible with 6.10?), you'll need to download the source of whatever you want and compile it yourself.