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Finding the Third Proportional to 4,448,092 and 9,711,812

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Solution

The third proportional to 4,448,092 and 9,711,812 is: 21,204,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448,092 : 9,711,812 = 9,711,812 : x
  2. Step 2: Convert to fraction form
    4,448,092/9,711,812 = 9,711,812/x
  3. Step 3: Cross multiply
    4,448,092x = 9,711,812 × 9,711,812
  4. Step 4: Simplify right side
    4,448,092x = 94,319,292,323,344
  5. Step 5: Solve for x
    x = 94,319,292,323,344/4,448,092
  6. Step 6: Final answer
    x = 21,204,438.29

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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.