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Finding the Third Proportional to 65,435,886 and 141,777,126

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Solution

The third proportional to 65,435,886 and 141,777,126 is: 307,182,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435,886 : 141,777,126 = 141,777,126 : x
  2. Step 2: Convert to fraction form
    65,435,886/141,777,126 = 141,777,126/x
  3. Step 3: Cross multiply
    65,435,886x = 141,777,126 × 141,777,126
  4. Step 4: Simplify right side
    65,435,886x = 20,100,753,456,819,876
  5. Step 5: Solve for x
    x = 20,100,753,456,819,876/65,435,886
  6. Step 6: Final answer
    x = 307,182,414.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.