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Finding the Third Proportional to 3,267,940,395,765 and 7,151,491,948,630

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Solution

The third proportional to 3,267,940,395,765 and 7,151,491,948,630 is: 15,650,174,390,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267,940,395,765 : 7,151,491,948,630 = 7,151,491,948,630 : x
  2. Step 2: Convert to fraction form
    3,267,940,395,765/7,151,491,948,630 = 7,151,491,948,630/x
  3. Step 3: Cross multiply
    3,267,940,395,765x = 7,151,491,948,630 × 7,151,491,948,630
  4. Step 4: Simplify right side
    3,267,940,395,765x = 51,143,837,091,319,711,814,123,520
  5. Step 5: Solve for x
    x = 51,143,837,091,319,711,814,123,520/3,267,940,395,765
  6. Step 6: Final answer
    x = 15,650,174,390,450.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.