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Finding the Third Proportional to 329,071,135,602 and 667,395,002,189.25

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Solution

The third proportional to 329,071,135,602 and 667,395,002,189.25 is: 1,353,555,632,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,071,135,602 : 667,395,002,189.25 = 667,395,002,189.25 : x
  2. Step 2: Convert to fraction form
    329,071,135,602/667,395,002,189.25 = 667,395,002,189.25/x
  3. Step 3: Cross multiply
    329,071,135,602x = 667,395,002,189.25 × 667,395,002,189.25
  4. Step 4: Simplify right side
    329,071,135,602x = 445,416,088,947,189,021,147,136
  5. Step 5: Solve for x
    x = 445,416,088,947,189,021,147,136/329,071,135,602
  6. Step 6: Final answer
    x = 1,353,555,632,074.35

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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.