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Finding the Third Proportional to 5,729,463 and 7,785,891

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Solution

The third proportional to 5,729,463 and 7,785,891 is: 10,580,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729,463 : 7,785,891 = 7,785,891 : x
  2. Step 2: Convert to fraction form
    5,729,463/7,785,891 = 7,785,891/x
  3. Step 3: Cross multiply
    5,729,463x = 7,785,891 × 7,785,891
  4. Step 4: Simplify right side
    5,729,463x = 60,620,098,663,881
  5. Step 5: Solve for x
    x = 60,620,098,663,881/5,729,463
  6. Step 6: Final answer
    x = 10,580,415.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.