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Finding the Third Proportional to 3,231,545,631 and 4,912,475,778

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Solution

The third proportional to 3,231,545,631 and 4,912,475,778 is: 7,467,763,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,545,631 : 4,912,475,778 = 4,912,475,778 : x
  2. Step 2: Convert to fraction form
    3,231,545,631/4,912,475,778 = 4,912,475,778/x
  3. Step 3: Cross multiply
    3,231,545,631x = 4,912,475,778 × 4,912,475,778
  4. Step 4: Simplify right side
    3,231,545,631x = 24,132,418,269,436,706,816
  5. Step 5: Solve for x
    x = 24,132,418,269,436,706,816/3,231,545,631
  6. Step 6: Final answer
    x = 7,467,763,425.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.