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Finding the Third Proportional to 5,109,806 and 11,126,812

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Solution

The third proportional to 5,109,806 and 11,126,812 is: 24,229,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,806 : 11,126,812 = 11,126,812 : x
  2. Step 2: Convert to fraction form
    5,109,806/11,126,812 = 11,126,812/x
  3. Step 3: Cross multiply
    5,109,806x = 11,126,812 × 11,126,812
  4. Step 4: Simplify right side
    5,109,806x = 123,805,945,283,344
  5. Step 5: Solve for x
    x = 123,805,945,283,344/5,109,806
  6. Step 6: Final answer
    x = 24,229,089.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.