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Finding the Third Proportional to 34,309,252.69 and 75,428,614.13

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Solution

The third proportional to 34,309,252.69 and 75,428,614.13 is: 165,829,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309,252.69 : 75,428,614.13 = 75,428,614.13 : x
  2. Step 2: Convert to fraction form
    34,309,252.69/75,428,614.13 = 75,428,614.13/x
  3. Step 3: Cross multiply
    34,309,252.69x = 75,428,614.13 × 75,428,614.13
  4. Step 4: Simplify right side
    34,309,252.69x = 5,689,475,828,818,150
  5. Step 5: Solve for x
    x = 5,689,475,828,818,150/34,309,252.69
  6. Step 6: Final answer
    x = 165,829,197.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.