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Finding the Third Proportional to 2,647,646 and 5,715,193

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Solution

The third proportional to 2,647,646 and 5,715,193 is: 12,336,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647,646 : 5,715,193 = 5,715,193 : x
  2. Step 2: Convert to fraction form
    2,647,646/5,715,193 = 5,715,193/x
  3. Step 3: Cross multiply
    2,647,646x = 5,715,193 × 5,715,193
  4. Step 4: Simplify right side
    2,647,646x = 32,663,431,027,249
  5. Step 5: Solve for x
    x = 32,663,431,027,249/2,647,646
  6. Step 6: Final answer
    x = 12,336,781.82

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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.