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Finding the Third Proportional to 17,734,912 and 38,204,667

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Solution

The third proportional to 17,734,912 and 38,204,667 is: 82,300,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734,912 : 38,204,667 = 38,204,667 : x
  2. Step 2: Convert to fraction form
    17,734,912/38,204,667 = 38,204,667/x
  3. Step 3: Cross multiply
    17,734,912x = 38,204,667 × 38,204,667
  4. Step 4: Simplify right side
    17,734,912x = 1,459,596,580,580,889
  5. Step 5: Solve for x
    x = 1,459,596,580,580,889/17,734,912
  6. Step 6: Final answer
    x = 82,300,751.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.