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Finding the Third Proportional to 50,766,117 and 77,338,905

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Solution

The third proportional to 50,766,117 and 77,338,905 is: 117,820,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,766,117 : 77,338,905 = 77,338,905 : x
  2. Step 2: Convert to fraction form
    50,766,117/77,338,905 = 77,338,905/x
  3. Step 3: Cross multiply
    50,766,117x = 77,338,905 × 77,338,905
  4. Step 4: Simplify right side
    50,766,117x = 5,981,306,226,599,025
  5. Step 5: Solve for x
    x = 5,981,306,226,599,025/50,766,117
  6. Step 6: Final answer
    x = 117,820,833.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.