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Finding the Third Proportional to 2,656,680 and 5,700,384

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Solution

The third proportional to 2,656,680 and 5,700,384 is: 12,231,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,680 : 5,700,384 = 5,700,384 : x
  2. Step 2: Convert to fraction form
    2,656,680/5,700,384 = 5,700,384/x
  3. Step 3: Cross multiply
    2,656,680x = 5,700,384 × 5,700,384
  4. Step 4: Simplify right side
    2,656,680x = 32,494,377,747,456
  5. Step 5: Solve for x
    x = 32,494,377,747,456/2,656,680
  6. Step 6: Final answer
    x = 12,231,197.49

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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.