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Finding the Third Proportional to 3,463,469,884 and 7,561,794,872

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Solution

The third proportional to 3,463,469,884 and 7,561,794,872 is: 16,509,669,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463,469,884 : 7,561,794,872 = 7,561,794,872 : x
  2. Step 2: Convert to fraction form
    3,463,469,884/7,561,794,872 = 7,561,794,872/x
  3. Step 3: Cross multiply
    3,463,469,884x = 7,561,794,872 × 7,561,794,872
  4. Step 4: Simplify right side
    3,463,469,884x = 57,180,741,686,205,497,344
  5. Step 5: Solve for x
    x = 57,180,741,686,205,497,344/3,463,469,884
  6. Step 6: Final answer
    x = 16,509,669,089.48

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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.