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Finding the Third Proportional to 717,917,206 and 1,561,620,936

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Solution

The third proportional to 717,917,206 and 1,561,620,936 is: 3,396,854,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,917,206 : 1,561,620,936 = 1,561,620,936 : x
  2. Step 2: Convert to fraction form
    717,917,206/1,561,620,936 = 1,561,620,936/x
  3. Step 3: Cross multiply
    717,917,206x = 1,561,620,936 × 1,561,620,936
  4. Step 4: Simplify right side
    717,917,206x = 2,438,659,947,753,516,032
  5. Step 5: Solve for x
    x = 2,438,659,947,753,516,032/717,917,206
  6. Step 6: Final answer
    x = 3,396,854,020.73

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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.