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Finding the Third Proportional to 51,737,544 and 81,160,828

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Solution

The third proportional to 51,737,544 and 81,160,828 is: 127,317,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,737,544 : 81,160,828 = 81,160,828 : x
  2. Step 2: Convert to fraction form
    51,737,544/81,160,828 = 81,160,828/x
  3. Step 3: Cross multiply
    51,737,544x = 81,160,828 × 81,160,828
  4. Step 4: Simplify right side
    51,737,544x = 6,587,080,001,645,584
  5. Step 5: Solve for x
    x = 6,587,080,001,645,584/51,737,544
  6. Step 6: Final answer
    x = 127,317,214.78

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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.