Final Cut Studio 3 re-install from Backup?

[AppleGuyz]

I had final Final Cut Studio 3 installed on my computer. However, the hd had to be wiped and I re-installed Mountain Lion. I've been trying to reinstall Final Cut Studio from my back drive but have had no success lately. I have my serial number for the product but the disks are missing due to having recently moved.

Is there anyway to either run final cut off of the backup drive or reinstall the files properly without the disks?

Thank you in advance.