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Finding the Third Proportional to 633,131,814 and 1,374,552,204

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Solution

The third proportional to 633,131,814 and 1,374,552,204 is: 2,984,202,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,131,814 : 1,374,552,204 = 1,374,552,204 : x
  2. Step 2: Convert to fraction form
    633,131,814/1,374,552,204 = 1,374,552,204/x
  3. Step 3: Cross multiply
    633,131,814x = 1,374,552,204 × 1,374,552,204
  4. Step 4: Simplify right side
    633,131,814x = 1,889,393,761,521,257,728
  5. Step 5: Solve for x
    x = 1,889,393,761,521,257,728/633,131,814
  6. Step 6: Final answer
    x = 2,984,202,846.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.