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Finding the Third Proportional to 10,431,794 and 15,957,493

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Solution

The third proportional to 10,431,794 and 15,957,493 is: 24,410,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431,794 : 15,957,493 = 15,957,493 : x
  2. Step 2: Convert to fraction form
    10,431,794/15,957,493 = 15,957,493/x
  3. Step 3: Cross multiply
    10,431,794x = 15,957,493 × 15,957,493
  4. Step 4: Simplify right side
    10,431,794x = 254,641,582,845,049
  5. Step 5: Solve for x
    x = 254,641,582,845,049/10,431,794
  6. Step 6: Final answer
    x = 24,410,142.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.