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Finding the Third Proportional to 10,677,103.50 and 16,546,449

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Solution

The third proportional to 10,677,103.50 and 16,546,449 is: 25,642,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,103.50 : 16,546,449 = 16,546,449 : x
  2. Step 2: Convert to fraction form
    10,677,103.50/16,546,449 = 16,546,449/x
  3. Step 3: Cross multiply
    10,677,103.50x = 16,546,449 × 16,546,449
  4. Step 4: Simplify right side
    10,677,103.50x = 273,784,974,509,601
  5. Step 5: Solve for x
    x = 273,784,974,509,601/10,677,103.50
  6. Step 6: Final answer
    x = 25,642,251.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.