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Finding the Third Proportional to 9,863,424 and 21,194,496

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Solution

The third proportional to 9,863,424 and 21,194,496 is: 45,542,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863,424 : 21,194,496 = 21,194,496 : x
  2. Step 2: Convert to fraction form
    9,863,424/21,194,496 = 21,194,496/x
  3. Step 3: Cross multiply
    9,863,424x = 21,194,496 × 21,194,496
  4. Step 4: Simplify right side
    9,863,424x = 449,206,660,694,016
  5. Step 5: Solve for x
    x = 449,206,660,694,016/9,863,424
  6. Step 6: Final answer
    x = 45,542,669.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.