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Finding the Third Proportional to 33,105,287.25 and 54,511,299

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Solution

The third proportional to 33,105,287.25 and 54,511,299 is: 89,758,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105,287.25 : 54,511,299 = 54,511,299 : x
  2. Step 2: Convert to fraction form
    33,105,287.25/54,511,299 = 54,511,299/x
  3. Step 3: Cross multiply
    33,105,287.25x = 54,511,299 × 54,511,299
  4. Step 4: Simplify right side
    33,105,287.25x = 2,971,481,718,667,401
  5. Step 5: Solve for x
    x = 2,971,481,718,667,401/33,105,287.25
  6. Step 6: Final answer
    x = 89,758,523.96

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.