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Finding the Third Proportional to 329,071,135,607 and 667,395,002,200

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Solution

The third proportional to 329,071,135,607 and 667,395,002,200 is: 1,353,555,632,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,071,135,607 : 667,395,002,200 = 667,395,002,200 : x
  2. Step 2: Convert to fraction form
    329,071,135,607/667,395,002,200 = 667,395,002,200/x
  3. Step 3: Cross multiply
    329,071,135,607x = 667,395,002,200 × 667,395,002,200
  4. Step 4: Simplify right side
    329,071,135,607x = 445,416,088,961,538,037,121,024
  5. Step 5: Solve for x
    x = 445,416,088,961,538,037,121,024/329,071,135,607
  6. Step 6: Final answer
    x = 1,353,555,632,097.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.