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Finding the Third Proportional to 47,174,922.70 and 100,907,974.97

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Solution

The third proportional to 47,174,922.70 and 100,907,974.97 is: 215,843,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174,922.70 : 100,907,974.97 = 100,907,974.97 : x
  2. Step 2: Convert to fraction form
    47,174,922.70/100,907,974.97 = 100,907,974.97/x
  3. Step 3: Cross multiply
    47,174,922.70x = 100,907,974.97 × 100,907,974.97
  4. Step 4: Simplify right side
    47,174,922.70x = 10,182,419,412,293,876
  5. Step 5: Solve for x
    x = 10,182,419,412,293,876/47,174,922.70
  6. Step 6: Final answer
    x = 215,843,902.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.