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Finding the Third Proportional to 227,741,193,912 and 474,332,387,184

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Solution

The third proportional to 227,741,193,912 and 474,332,387,184 is: 987,924,976,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,741,193,912 : 474,332,387,184 = 474,332,387,184 : x
  2. Step 2: Convert to fraction form
    227,741,193,912/474,332,387,184 = 474,332,387,184/x
  3. Step 3: Cross multiply
    227,741,193,912x = 474,332,387,184 × 474,332,387,184
  4. Step 4: Simplify right side
    227,741,193,912x = 224,991,213,531,672,101,257,216
  5. Step 5: Solve for x
    x = 224,991,213,531,672,101,257,216/227,741,193,912
  6. Step 6: Final answer
    x = 987,924,976,008.55

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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.