SOLUTION: the US emitted 19.5 million tons of nitrogen oxides into the atmosphere in 1987. one metric ton equals 1,000 kg. how many kilograms of nitrogen oxide were emitted to the atmosphere

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This is just simple! Don't be confused.
You can opt to use ratio and proportion like this:
1 ton:1000 kg::19500000 tons:x kg
By cross multiplication,
19500000000ton-kg=x ton-kg
x=19500000000 kg
Therefore,
19.5 tons is equal to 19500000000 kg or 19.5 billion kilograms