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Finding the Third Proportional to 37,067,305.50 and 77,202,641.25

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Solution

The third proportional to 37,067,305.50 and 77,202,641.25 is: 160,795,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,067,305.50 : 77,202,641.25 = 77,202,641.25 : x
  2. Step 2: Convert to fraction form
    37,067,305.50/77,202,641.25 = 77,202,641.25/x
  3. Step 3: Cross multiply
    37,067,305.50x = 77,202,641.25 × 77,202,641.25
  4. Step 4: Simplify right side
    37,067,305.50x = 5,960,247,815,976,202
  5. Step 5: Solve for x
    x = 5,960,247,815,976,202/37,067,305.50
  6. Step 6: Final answer
    x = 160,795,281.33

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