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Finding the Third Proportional to 47,399,724 and 101,517,903

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Solution

The third proportional to 47,399,724 and 101,517,903 is: 217,424,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,399,724 : 101,517,903 = 101,517,903 : x
  2. Step 2: Convert to fraction form
    47,399,724/101,517,903 = 101,517,903/x
  3. Step 3: Cross multiply
    47,399,724x = 101,517,903 × 101,517,903
  4. Step 4: Simplify right side
    47,399,724x = 10,305,884,629,517,408
  5. Step 5: Solve for x
    x = 10,305,884,629,517,408/47,399,724
  6. Step 6: Final answer
    x = 217,424,992.38

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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.