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Finding the Third Proportional to 6,092,442 and 13,380,693.75

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Solution

The third proportional to 6,092,442 and 13,380,693.75 is: 29,387,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092,442 : 13,380,693.75 = 13,380,693.75 : x
  2. Step 2: Convert to fraction form
    6,092,442/13,380,693.75 = 13,380,693.75/x
  3. Step 3: Cross multiply
    6,092,442x = 13,380,693.75 × 13,380,693.75
  4. Step 4: Simplify right side
    6,092,442x = 179,042,965,231,289.06
  5. Step 5: Solve for x
    x = 179,042,965,231,289.06/6,092,442
  6. Step 6: Final answer
    x = 29,387,717.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.