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Finding the Third Proportional to 329,071,130,145 and 667,394,991,550.50

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Solution

The third proportional to 329,071,130,145 and 667,394,991,550.50 is: 1,353,555,611,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,071,130,145 : 667,394,991,550.50 = 667,394,991,550.50 : x
  2. Step 2: Convert to fraction form
    329,071,130,145/667,394,991,550.50 = 667,394,991,550.50/x
  3. Step 3: Cross multiply
    329,071,130,145x = 667,394,991,550.50 × 667,394,991,550.50
  4. Step 4: Simplify right side
    329,071,130,145x = 445,416,074,746,691,942,612,992
  5. Step 5: Solve for x
    x = 445,416,074,746,691,942,612,992/329,071,130,145
  6. Step 6: Final answer
    x = 1,353,555,611,367.14

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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.