GULFSTREAM II WRONG RWY LNDG HAD NMAC LTSS WITH ACR LGT.

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TAXIING FOR TKOF AT LAS RWY 25R. LNDGS WERE BEING CONDUCTED TO RWY 25L. APCHING DEP RWY; WE WERE CLRED 'INTO POS AND HOLD' ON RWY 25R. I LOOKED AT THE FINAL APCH AREA AND SAW 1 ACFT'S LIGHTS ON FINAL. I ASSURED HE WAS LINED UP ON RWY 25L AS IT WAS DIFFICULT TO DETERMINE BY JUST HIS LIGHTS. BEFORE TAXIING ONTO THE RWY; WE WERE CLRED FOR TKOF ON RWY 25R. AS I CROSSED THE HOLD SHORT LINE I LOOKED UP AND SAW A GULFSTREAM II PASS IN FRONT OF ME AT 40-50 FT ALT AND PROCEED TO LAND ON RWY 25R. I STOPPED IMMEDIATELY AS I WAS STARTLED BY HIS PROX. WE QUERIED THE TWR AND THEY SAID TO CANCEL TKOF CLRNC WHILE THE GULFSTREAM II ROLLED OUT. HE HAD BEEN CLRED TO LAND ON RWY 25L AND WE HAD RPTED TO RWY 25R IN OUR XMISSIONS. THE TWR MENTIONED OUR RWY TWICE IN HIS XMISSIONS; SO THE GULFSTREAM II WAS NOT PAYING ATTN TO THE TALK ON TWR FREQ. SUPPLEMENTAL INFO FROM ACN 294309: X WAS CLRED ONTO RWY 25R; POS AND HOLD. AFTER XING HOLD LINES; AN ACFT PASSED CLOSELY OVERHEAD LNDG RWY 25R. THE CAPT QUERIED THE TWR ABOUT THE ACFT. THE TWR SAID GULFSTREAM; YOU HAVE LANDED ON THE WRONG RWY.