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Finding the Third Proportional to 10,676,682 and 16,545,910.50

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Solution

The third proportional to 10,676,682 and 16,545,910.50 is: 25,641,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,682 : 16,545,910.50 = 16,545,910.50 : x
  2. Step 2: Convert to fraction form
    10,676,682/16,545,910.50 = 16,545,910.50/x
  3. Step 3: Cross multiply
    10,676,682x = 16,545,910.50 × 16,545,910.50
  4. Step 4: Simplify right side
    10,676,682x = 273,767,154,274,010.25
  5. Step 5: Solve for x
    x = 273,767,154,274,010.25/10,676,682
  6. Step 6: Final answer
    x = 25,641,594.86

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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.