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Finding the Third Proportional to 10,676,671 and 16,545,900

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Solution

The third proportional to 10,676,671 and 16,545,900 is: 25,641,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,671 : 16,545,900 = 16,545,900 : x
  2. Step 2: Convert to fraction form
    10,676,671/16,545,900 = 16,545,900/x
  3. Step 3: Cross multiply
    10,676,671x = 16,545,900 × 16,545,900
  4. Step 4: Simplify right side
    10,676,671x = 273,766,806,810,000
  5. Step 5: Solve for x
    x = 273,766,806,810,000/10,676,671
  6. Step 6: Final answer
    x = 25,641,588.73

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Why These Related Problems?

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