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Finding the Third Proportional to 231,145,780 and 481,423,544

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Solution

The third proportional to 231,145,780 and 481,423,544 is: 1,002,694,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,145,780 : 481,423,544 = 481,423,544 : x
  2. Step 2: Convert to fraction form
    231,145,780/481,423,544 = 481,423,544/x
  3. Step 3: Cross multiply
    231,145,780x = 481,423,544 × 481,423,544
  4. Step 4: Simplify right side
    231,145,780x = 231,768,628,717,519,936
  5. Step 5: Solve for x
    x = 231,768,628,717,519,936/231,145,780
  6. Step 6: Final answer
    x = 1,002,694,614.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.