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Finding the Third Proportional to 17,392,815,570,859 and 37,839,290,413,562

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Solution

The third proportional to 17,392,815,570,859 and 37,839,290,413,562 is: 82,322,030,793,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,392,815,570,859 : 37,839,290,413,562 = 37,839,290,413,562 : x
  2. Step 2: Convert to fraction form
    17,392,815,570,859/37,839,290,413,562 = 37,839,290,413,562/x
  3. Step 3: Cross multiply
    17,392,815,570,859x = 37,839,290,413,562 × 37,839,290,413,562
  4. Step 4: Simplify right side
    17,392,815,570,859x = 1,431,811,899,001,885,060,876,992,512
  5. Step 5: Solve for x
    x = 1,431,811,899,001,885,060,876,992,512/17,392,815,570,859
  6. Step 6: Final answer
    x = 82,322,030,793,037.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.