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Finding the Third Proportional to 7,769,773.13 and 16,344,909

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Solution

The third proportional to 7,769,773.13 and 16,344,909 is: 34,384,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,773.13 : 16,344,909 = 16,344,909 : x
  2. Step 2: Convert to fraction form
    7,769,773.13/16,344,909 = 16,344,909/x
  3. Step 3: Cross multiply
    7,769,773.13x = 16,344,909 × 16,344,909
  4. Step 4: Simplify right side
    7,769,773.13x = 267,156,050,218,281
  5. Step 5: Solve for x
    x = 267,156,050,218,281/7,769,773.13
  6. Step 6: Final answer
    x = 34,384,022.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.