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Finding the Third Proportional to 227,469,372 and 491,184,972

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Solution

The third proportional to 227,469,372 and 491,184,972 is: 1,060,638,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,469,372 : 491,184,972 = 491,184,972 : x
  2. Step 2: Convert to fraction form
    227,469,372/491,184,972 = 491,184,972/x
  3. Step 3: Cross multiply
    227,469,372x = 491,184,972 × 491,184,972
  4. Step 4: Simplify right side
    227,469,372x = 241,262,676,718,640,768
  5. Step 5: Solve for x
    x = 241,262,676,718,640,768/227,469,372
  6. Step 6: Final answer
    x = 1,060,638,074.47

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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.