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Finding the Third Proportional to 2,663,780 and 5,753,188

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Solution

The third proportional to 2,663,780 and 5,753,188 is: 12,425,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663,780 : 5,753,188 = 5,753,188 : x
  2. Step 2: Convert to fraction form
    2,663,780/5,753,188 = 5,753,188/x
  3. Step 3: Cross multiply
    2,663,780x = 5,753,188 × 5,753,188
  4. Step 4: Simplify right side
    2,663,780x = 33,099,172,163,344
  5. Step 5: Solve for x
    x = 33,099,172,163,344/2,663,780
  6. Step 6: Final answer
    x = 12,425,640.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.