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Finding the Third Proportional to 987,217,241,950 and 1,390,219,419,540

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Solution

The third proportional to 987,217,241,950 and 1,390,219,419,540 is: 1,957,735,291,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,217,241,950 : 1,390,219,419,540 = 1,390,219,419,540 : x
  2. Step 2: Convert to fraction form
    987,217,241,950/1,390,219,419,540 = 1,390,219,419,540/x
  3. Step 3: Cross multiply
    987,217,241,950x = 1,390,219,419,540 × 1,390,219,419,540
  4. Step 4: Simplify right side
    987,217,241,950x = 1,932,710,034,466,134,659,432,448
  5. Step 5: Solve for x
    x = 1,932,710,034,466,134,659,432,448/987,217,241,950
  6. Step 6: Final answer
    x = 1,957,735,291,017.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.