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Finding the Third Proportional to 10,676,676 and 16,545,906

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Solution

The third proportional to 10,676,676 and 16,545,906 is: 25,641,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,676 : 16,545,906 = 16,545,906 : x
  2. Step 2: Convert to fraction form
    10,676,676/16,545,906 = 16,545,906/x
  3. Step 3: Cross multiply
    10,676,676x = 16,545,906 × 16,545,906
  4. Step 4: Simplify right side
    10,676,676x = 273,767,005,360,836
  5. Step 5: Solve for x
    x = 273,767,005,360,836/10,676,676
  6. Step 6: Final answer
    x = 25,641,595.32

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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.