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Finding the Third Proportional to 6,092,864 and 13,381,448

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Solution

The third proportional to 6,092,864 and 13,381,448 is: 29,388,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092,864 : 13,381,448 = 13,381,448 : x
  2. Step 2: Convert to fraction form
    6,092,864/13,381,448 = 13,381,448/x
  3. Step 3: Cross multiply
    6,092,864x = 13,381,448 × 13,381,448
  4. Step 4: Simplify right side
    6,092,864x = 179,063,150,576,704
  5. Step 5: Solve for x
    x = 179,063,150,576,704/6,092,864
  6. Step 6: Final answer
    x = 29,388,995.16

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Why These Related Problems?

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