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Finding the Third Proportional to 47,981,844 and 103,609,376

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Solution

The third proportional to 47,981,844 and 103,609,376 is: 223,728,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981,844 : 103,609,376 = 103,609,376 : x
  2. Step 2: Convert to fraction form
    47,981,844/103,609,376 = 103,609,376/x
  3. Step 3: Cross multiply
    47,981,844x = 103,609,376 × 103,609,376
  4. Step 4: Simplify right side
    47,981,844x = 10,734,902,795,109,376
  5. Step 5: Solve for x
    x = 10,734,902,795,109,376/47,981,844
  6. Step 6: Final answer
    x = 223,728,433.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.