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Finding the Third Proportional to 227,469,377 and 491,184,982

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Solution

The third proportional to 227,469,377 and 491,184,982 is: 1,060,638,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,469,377 : 491,184,982 = 491,184,982 : x
  2. Step 2: Convert to fraction form
    227,469,377/491,184,982 = 491,184,982/x
  3. Step 3: Cross multiply
    227,469,377x = 491,184,982 × 491,184,982
  4. Step 4: Simplify right side
    227,469,377x = 241,262,686,542,340,320
  5. Step 5: Solve for x
    x = 241,262,686,542,340,320/227,469,377
  6. Step 6: Final answer
    x = 1,060,638,094.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.