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Finding the Third Proportional to 5,305,691 and 11,367,811

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Solution

The third proportional to 5,305,691 and 11,367,811 is: 24,356,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,691 : 11,367,811 = 11,367,811 : x
  2. Step 2: Convert to fraction form
    5,305,691/11,367,811 = 11,367,811/x
  3. Step 3: Cross multiply
    5,305,691x = 11,367,811 × 11,367,811
  4. Step 4: Simplify right side
    5,305,691x = 129,227,126,931,721
  5. Step 5: Solve for x
    x = 129,227,126,931,721/5,305,691
  6. Step 6: Final answer
    x = 24,356,323.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.