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Finding the Third Proportional to 329,071,135,608 and 667,395,002,201

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Solution

The third proportional to 329,071,135,608 and 667,395,002,201 is: 1,353,555,632,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,071,135,608 : 667,395,002,201 = 667,395,002,201 : x
  2. Step 2: Convert to fraction form
    329,071,135,608/667,395,002,201 = 667,395,002,201/x
  3. Step 3: Cross multiply
    329,071,135,608x = 667,395,002,201 × 667,395,002,201
  4. Step 4: Simplify right side
    329,071,135,608x = 445,416,088,962,872,765,317,120
  5. Step 5: Solve for x
    x = 445,416,088,962,872,765,317,120/329,071,135,608
  6. Step 6: Final answer
    x = 1,353,555,632,097.33

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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.