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Finding the Third Proportional to 5,474,736 and 11,296,449

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Solution

The third proportional to 5,474,736 and 11,296,449 is: 23,308,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474,736 : 11,296,449 = 11,296,449 : x
  2. Step 2: Convert to fraction form
    5,474,736/11,296,449 = 11,296,449/x
  3. Step 3: Cross multiply
    5,474,736x = 11,296,449 × 11,296,449
  4. Step 4: Simplify right side
    5,474,736x = 127,609,760,009,601
  5. Step 5: Solve for x
    x = 127,609,760,009,601/5,474,736
  6. Step 6: Final answer
    x = 23,308,842.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.