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Finding the Third Proportional to 7,947,098 and 17,164,661

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Solution

The third proportional to 7,947,098 and 17,164,661 is: 37,073,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947,098 : 17,164,661 = 17,164,661 : x
  2. Step 2: Convert to fraction form
    7,947,098/17,164,661 = 17,164,661/x
  3. Step 3: Cross multiply
    7,947,098x = 17,164,661 × 17,164,661
  4. Step 4: Simplify right side
    7,947,098x = 294,625,587,244,921
  5. Step 5: Solve for x
    x = 294,625,587,244,921/7,947,098
  6. Step 6: Final answer
    x = 37,073,355.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.