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Finding the Third Proportional to 3,731,632 and 7,982,016

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Solution

The third proportional to 3,731,632 and 7,982,016 is: 17,073,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731,632 : 7,982,016 = 7,982,016 : x
  2. Step 2: Convert to fraction form
    3,731,632/7,982,016 = 7,982,016/x
  3. Step 3: Cross multiply
    3,731,632x = 7,982,016 × 7,982,016
  4. Step 4: Simplify right side
    3,731,632x = 63,712,579,424,256
  5. Step 5: Solve for x
    x = 63,712,579,424,256/3,731,632
  6. Step 6: Final answer
    x = 17,073,650.19

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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.