is the bolt on my Savage M12 the same as a 110

i bought a Savage Model 12 heavy barrel and the last owner lost the bolt while hunting. he did get a bolt for it but it was pretty rough and he did get it cleaned up and its smooth but looks kind of bad. i looked on Midways website but didnt see a replacement bolt for my model 12 and i was wondering if it is the same as the Model 110? or what model has the same action system so i know what to look for if i need parts for it for any reason.
or are they the same for Model 10s?

No, they are different. The model 12 uses a short action bolt. The 110 is a long action. There are some interchangeable parts but the important parts are action length specific.