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Finding the Third Proportional to 6,324,327,072 and 13,737,351,456

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Solution

The third proportional to 6,324,327,072 and 13,737,351,456 is: 29,839,510,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324,327,072 : 13,737,351,456 = 13,737,351,456 : x
  2. Step 2: Convert to fraction form
    6,324,327,072/13,737,351,456 = 13,737,351,456/x
  3. Step 3: Cross multiply
    6,324,327,072x = 13,737,351,456 × 13,737,351,456
  4. Step 4: Simplify right side
    6,324,327,072x = 188,714,825,025,665,335,296
  5. Step 5: Solve for x
    x = 188,714,825,025,665,335,296/6,324,327,072
  6. Step 6: Final answer
    x = 29,839,510,651.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.