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Finding the Third Proportional to 6,171,644,132 and 13,522,364,836

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Solution

The third proportional to 6,171,644,132 and 13,522,364,836 is: 29,628,142,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171,644,132 : 13,522,364,836 = 13,522,364,836 : x
  2. Step 2: Convert to fraction form
    6,171,644,132/13,522,364,836 = 13,522,364,836/x
  3. Step 3: Cross multiply
    6,171,644,132x = 13,522,364,836 × 13,522,364,836
  4. Step 4: Simplify right side
    6,171,644,132x = 182,854,350,757,889,310,720
  5. Step 5: Solve for x
    x = 182,854,350,757,889,310,720/6,171,644,132
  6. Step 6: Final answer
    x = 29,628,142,330.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.