Convert Game Saves from Amazon to Google

So my kids have played some games (Minion Rush, Frozen Fever) on the Fire OS, downloaded from Amazon. I have just used Safestrap to install the Nexus ROM. I backed up all my apps with Titanium Backup first. I want to use the Google version of these games, but I believe they are totally different versions. Is there a way to use the data in Titanium Backup (or even from the OS itself...it is still in another ROM slot) to put the saved progress on the Google version?