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Finding the Third Proportional to 8,344,016 and 17,327,512

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Solution

The third proportional to 8,344,016 and 17,327,512 is: 35,982,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,016 : 17,327,512 = 17,327,512 : x
  2. Step 2: Convert to fraction form
    8,344,016/17,327,512 = 17,327,512/x
  3. Step 3: Cross multiply
    8,344,016x = 17,327,512 × 17,327,512
  4. Step 4: Simplify right side
    8,344,016x = 300,242,672,110,144
  5. Step 5: Solve for x
    x = 300,242,672,110,144/8,344,016
  6. Step 6: Final answer
    x = 35,982,993.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.