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Finding the Third Proportional to 49,143,794 and 106,641,074

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Solution

The third proportional to 49,143,794 and 106,641,074 is: 231,409,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143,794 : 106,641,074 = 106,641,074 : x
  2. Step 2: Convert to fraction form
    49,143,794/106,641,074 = 106,641,074/x
  3. Step 3: Cross multiply
    49,143,794x = 106,641,074 × 106,641,074
  4. Step 4: Simplify right side
    49,143,794x = 11,372,318,663,873,476
  5. Step 5: Solve for x
    x = 11,372,318,663,873,476/49,143,794
  6. Step 6: Final answer
    x = 231,409,049.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.