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Finding the Third Proportional to 51,737,413 and 81,160,847

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Solution

The third proportional to 51,737,413 and 81,160,847 is: 127,317,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,737,413 : 81,160,847 = 81,160,847 : x
  2. Step 2: Convert to fraction form
    51,737,413/81,160,847 = 81,160,847/x
  3. Step 3: Cross multiply
    51,737,413x = 81,160,847 × 81,160,847
  4. Step 4: Simplify right side
    51,737,413x = 6,587,083,085,757,409
  5. Step 5: Solve for x
    x = 6,587,083,085,757,409/51,737,413
  6. Step 6: Final answer
    x = 127,317,596.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.