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Finding the Third Proportional to 37,067,251.50 and 77,202,537

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Solution

The third proportional to 37,067,251.50 and 77,202,537 is: 160,795,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,067,251.50 : 77,202,537 = 77,202,537 : x
  2. Step 2: Convert to fraction form
    37,067,251.50/77,202,537 = 77,202,537/x
  3. Step 3: Cross multiply
    37,067,251.50x = 77,202,537 × 77,202,537
  4. Step 4: Simplify right side
    37,067,251.50x = 5,960,231,719,236,369
  5. Step 5: Solve for x
    x = 5,960,231,719,236,369/37,067,251.50
  6. Step 6: Final answer
    x = 160,795,081.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.