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Finding the Third Proportional to 633,131,812 and 1,374,552,198

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Solution

The third proportional to 633,131,812 and 1,374,552,198 is: 2,984,202,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,131,812 : 1,374,552,198 = 1,374,552,198 : x
  2. Step 2: Convert to fraction form
    633,131,812/1,374,552,198 = 1,374,552,198/x
  3. Step 3: Cross multiply
    633,131,812x = 1,374,552,198 × 1,374,552,198
  4. Step 4: Simplify right side
    633,131,812x = 1,889,393,745,026,631,168
  5. Step 5: Solve for x
    x = 1,889,393,745,026,631,168/633,131,812
  6. Step 6: Final answer
    x = 2,984,202,829.83

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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.