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Finding the Third Proportional to 37,067,435.50 and 77,202,891

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Solution

The third proportional to 37,067,435.50 and 77,202,891 is: 160,795,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,067,435.50 : 77,202,891 = 77,202,891 : x
  2. Step 2: Convert to fraction form
    37,067,435.50/77,202,891 = 77,202,891/x
  3. Step 3: Cross multiply
    37,067,435.50x = 77,202,891 × 77,202,891
  4. Step 4: Simplify right side
    37,067,435.50x = 5,960,286,378,757,881
  5. Step 5: Solve for x
    x = 5,960,286,378,757,881/37,067,435.50
  6. Step 6: Final answer
    x = 160,795,757.74

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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.