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Finding the Third Proportional to 3,834,016 and 8,206,614

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Solution

The third proportional to 3,834,016 and 8,206,614 is: 17,566,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,016 : 8,206,614 = 8,206,614 : x
  2. Step 2: Convert to fraction form
    3,834,016/8,206,614 = 8,206,614/x
  3. Step 3: Cross multiply
    3,834,016x = 8,206,614 × 8,206,614
  4. Step 4: Simplify right side
    3,834,016x = 67,348,513,344,996
  5. Step 5: Solve for x
    x = 67,348,513,344,996/3,834,016
  6. Step 6: Final answer
    x = 17,566,049.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.