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Finding the Third Proportional to 18,661,006,845 and 41,125,721,182

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Solution

The third proportional to 18,661,006,845 and 41,125,721,182 is: 90,634,174,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661,006,845 : 41,125,721,182 = 41,125,721,182 : x
  2. Step 2: Convert to fraction form
    18,661,006,845/41,125,721,182 = 41,125,721,182/x
  3. Step 3: Cross multiply
    18,661,006,845x = 41,125,721,182 × 41,125,721,182
  4. Step 4: Simplify right side
    18,661,006,845x = 1,691,324,942,739,603,456,000
  5. Step 5: Solve for x
    x = 1,691,324,942,739,603,456,000/18,661,006,845
  6. Step 6: Final answer
    x = 90,634,174,071.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.