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Finding the Third Proportional to 2,647,864 and 5,715,512

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Solution

The third proportional to 2,647,864 and 5,715,512 is: 12,337,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647,864 : 5,715,512 = 5,715,512 : x
  2. Step 2: Convert to fraction form
    2,647,864/5,715,512 = 5,715,512/x
  3. Step 3: Cross multiply
    2,647,864x = 5,715,512 × 5,715,512
  4. Step 4: Simplify right side
    2,647,864x = 32,667,077,422,144
  5. Step 5: Solve for x
    x = 32,667,077,422,144/2,647,864
  6. Step 6: Final answer
    x = 12,337,143.23

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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.