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Finding the Third Proportional to 49,174,704 and 107,248,876

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Solution

The third proportional to 49,174,704 and 107,248,876 is: 233,907,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,174,704 : 107,248,876 = 107,248,876 : x
  2. Step 2: Convert to fraction form
    49,174,704/107,248,876 = 107,248,876/x
  3. Step 3: Cross multiply
    49,174,704x = 107,248,876 × 107,248,876
  4. Step 4: Simplify right side
    49,174,704x = 11,502,321,403,263,376
  5. Step 5: Solve for x
    x = 11,502,321,403,263,376/49,174,704
  6. Step 6: Final answer
    x = 233,907,282.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.