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Finding the Third Proportional to 47,526,902 and 101,874,874

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Solution

The third proportional to 47,526,902 and 101,874,874 is: 218,370,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,526,902 : 101,874,874 = 101,874,874 : x
  2. Step 2: Convert to fraction form
    47,526,902/101,874,874 = 101,874,874/x
  3. Step 3: Cross multiply
    47,526,902x = 101,874,874 × 101,874,874
  4. Step 4: Simplify right side
    47,526,902x = 10,378,489,952,515,876
  5. Step 5: Solve for x
    x = 10,378,489,952,515,876/47,526,902
  6. Step 6: Final answer
    x = 218,370,849.26

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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.