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Finding the Third Proportional to 9,982,204 and 20,437,412

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Solution

The third proportional to 9,982,204 and 20,437,412 is: 41,843,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,204 : 20,437,412 = 20,437,412 : x
  2. Step 2: Convert to fraction form
    9,982,204/20,437,412 = 20,437,412/x
  3. Step 3: Cross multiply
    9,982,204x = 20,437,412 × 20,437,412
  4. Step 4: Simplify right side
    9,982,204x = 417,687,809,257,744
  5. Step 5: Solve for x
    x = 417,687,809,257,744/9,982,204
  6. Step 6: Final answer
    x = 41,843,245.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.