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Finding the Third Proportional to 50,207,948 and 77,584,067

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Solution

The third proportional to 50,207,948 and 77,584,067 is: 119,887,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207,948 : 77,584,067 = 77,584,067 : x
  2. Step 2: Convert to fraction form
    50,207,948/77,584,067 = 77,584,067/x
  3. Step 3: Cross multiply
    50,207,948x = 77,584,067 × 77,584,067
  4. Step 4: Simplify right side
    50,207,948x = 6,019,287,452,260,489
  5. Step 5: Solve for x
    x = 6,019,287,452,260,489/50,207,948
  6. Step 6: Final answer
    x = 119,887,143.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.