Across is "from one side to the other". it is used on the surface and not inside of something.
Through means "to reach to the end". It is used when going inside of something
1. At that moment I was walking ACROSS the road. (correct, it is on the surface of something)
2.She swam THROUGH ACROSS the Thames.("through" as it is inside something like water)
3.I went THROUGH ACORSS the desert.( "through" as it is inside the desert)
4.Yor were running ACROSS THROUGH the crowed(again it will be "through" as we can only be inside the crowed and not on the surface of the crowd)
5.The cat was going THROUGH ACROOSthe empty street. ( "across" , as it is on the surface)
6.The monkey played THROUGH the jungle(its a kind of tunnel surrounded by trees so again it has to be "through")
7.My mother did some shopping THROUGH the market.(market is again when we can be inside and not on the surface so it is "through")
8.The skier climbedTHROUHG ACROSS the glacier.(it should be across as it on surface)
I am not a teacher and a learner. I want the senior member to point out my mistakes
Thanks & Regards
Gauri

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