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Finding the Third Proportional to 2,627,376 and 5,659,914

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Solution

The third proportional to 2,627,376 and 5,659,914 is: 12,192,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,376 : 5,659,914 = 5,659,914 : x
  2. Step 2: Convert to fraction form
    2,627,376/5,659,914 = 5,659,914/x
  3. Step 3: Cross multiply
    2,627,376x = 5,659,914 × 5,659,914
  4. Step 4: Simplify right side
    2,627,376x = 32,034,626,487,396
  5. Step 5: Solve for x
    x = 32,034,626,487,396/2,627,376
  6. Step 6: Final answer
    x = 12,192,631.16

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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.