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Finding the Third Proportional to 5,468,913 and 11,785,675

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Solution

The third proportional to 5,468,913 and 11,785,675 is: 25,398,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468,913 : 11,785,675 = 11,785,675 : x
  2. Step 2: Convert to fraction form
    5,468,913/11,785,675 = 11,785,675/x
  3. Step 3: Cross multiply
    5,468,913x = 11,785,675 × 11,785,675
  4. Step 4: Simplify right side
    5,468,913x = 138,902,135,205,625
  5. Step 5: Solve for x
    x = 138,902,135,205,625/5,468,913
  6. Step 6: Final answer
    x = 25,398,490.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.