Pass Ads parameters from one page to another

Hi,
we do have some ads running which are pointing to landingpages including some parameters:

utm_source=mysource&utm_medium=mymedium&utm_campaign=mycampain&utm_content=mycontent

I think when a user is forwarded to such a landing page, everything is ok, but after browsing trough subpages, the parameters are gone. It is hard to identify the source for events like purchase in that case. Or am I wrong?

Is there a way to transfer these parameters to the next page with GTM?

Many thanks