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Finding the Third Proportional to 47,399,728 and 101,517,911

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Solution

The third proportional to 47,399,728 and 101,517,911 is: 217,425,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,399,728 : 101,517,911 = 101,517,911 : x
  2. Step 2: Convert to fraction form
    47,399,728/101,517,911 = 101,517,911/x
  3. Step 3: Cross multiply
    47,399,728x = 101,517,911 × 101,517,911
  4. Step 4: Simplify right side
    47,399,728x = 10,305,886,253,803,920
  5. Step 5: Solve for x
    x = 10,305,886,253,803,920/47,399,728
  6. Step 6: Final answer
    x = 217,425,008.30

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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.