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Finding the Third Proportional to 37,067,397.75 and 77,202,796.50

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Solution

The third proportional to 37,067,397.75 and 77,202,796.50 is: 160,795,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,067,397.75 : 77,202,796.50 = 77,202,796.50 : x
  2. Step 2: Convert to fraction form
    37,067,397.75/77,202,796.50 = 77,202,796.50/x
  3. Step 3: Cross multiply
    37,067,397.75x = 77,202,796.50 × 77,202,796.50
  4. Step 4: Simplify right side
    37,067,397.75x = 5,960,271,787,420,412
  5. Step 5: Solve for x
    x = 5,960,271,787,420,412/37,067,397.75
  6. Step 6: Final answer
    x = 160,795,527.85

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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.