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Finding the Third Proportional to 329,071,130,142.44 and 667,394,991,545.04

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Solution

The third proportional to 329,071,130,142.44 and 667,394,991,545.04 is: 1,353,555,611,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,071,130,142.44 : 667,394,991,545.04 = 667,394,991,545.04 : x
  2. Step 2: Convert to fraction form
    329,071,130,142.44/667,394,991,545.04 = 667,394,991,545.04/x
  3. Step 3: Cross multiply
    329,071,130,142.44x = 667,394,991,545.04 × 667,394,991,545.04
  4. Step 4: Simplify right side
    329,071,130,142.44x = 445,416,074,739,404,054,200,320
  5. Step 5: Solve for x
    x = 445,416,074,739,404,054,200,320/329,071,130,142.44
  6. Step 6: Final answer
    x = 1,353,555,611,355.53

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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.