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Finding the Third Proportional to 3,857,016 and 8,294,498

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Solution

The third proportional to 3,857,016 and 8,294,498 is: 17,837,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,016 : 8,294,498 = 8,294,498 : x
  2. Step 2: Convert to fraction form
    3,857,016/8,294,498 = 8,294,498/x
  3. Step 3: Cross multiply
    3,857,016x = 8,294,498 × 8,294,498
  4. Step 4: Simplify right side
    3,857,016x = 68,798,697,072,004
  5. Step 5: Solve for x
    x = 68,798,697,072,004/3,857,016
  6. Step 6: Final answer
    x = 17,837,285.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.