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Finding the Third Proportional to 32,764,770,625,884 and 71,297,460,754,782

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Solution

The third proportional to 32,764,770,625,884 and 71,297,460,754,782 is: 155,146,146,698,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764,770,625,884 : 71,297,460,754,782 = 71,297,460,754,782 : x
  2. Step 2: Convert to fraction form
    32,764,770,625,884/71,297,460,754,782 = 71,297,460,754,782/x
  3. Step 3: Cross multiply
    32,764,770,625,884x = 71,297,460,754,782 × 71,297,460,754,782
  4. Step 4: Simplify right side
    32,764,770,625,884x = 5,083,327,910,079,679,854,800,797,696
  5. Step 5: Solve for x
    x = 5,083,327,910,079,679,854,800,797,696/32,764,770,625,884
  6. Step 6: Final answer
    x = 155,146,146,698,914.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.