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Finding the Third Proportional to 224,278,064 and 327,902,372

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Solution

The third proportional to 224,278,064 and 327,902,372 is: 479,404,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,278,064 : 327,902,372 = 327,902,372 : x
  2. Step 2: Convert to fraction form
    224,278,064/327,902,372 = 327,902,372/x
  3. Step 3: Cross multiply
    224,278,064x = 327,902,372 × 327,902,372
  4. Step 4: Simplify right side
    224,278,064x = 107,519,965,563,226,384
  5. Step 5: Solve for x
    x = 107,519,965,563,226,384/224,278,064
  6. Step 6: Final answer
    x = 479,404,733.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.