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Finding the Third Proportional to 3,267,940,395,784 and 7,151,491,948,668

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Solution

The third proportional to 3,267,940,395,784 and 7,151,491,948,668 is: 15,650,174,390,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267,940,395,784 : 7,151,491,948,668 = 7,151,491,948,668 : x
  2. Step 2: Convert to fraction form
    3,267,940,395,784/7,151,491,948,668 = 7,151,491,948,668/x
  3. Step 3: Cross multiply
    3,267,940,395,784x = 7,151,491,948,668 × 7,151,491,948,668
  4. Step 4: Simplify right side
    3,267,940,395,784x = 51,143,837,091,863,231,335,497,728
  5. Step 5: Solve for x
    x = 51,143,837,091,863,231,335,497,728/3,267,940,395,784
  6. Step 6: Final answer
    x = 15,650,174,390,525.72

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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.