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Finding the Third Proportional to 17,757,340 and 38,209,716

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Solution

The third proportional to 17,757,340 and 38,209,716 is: 82,218,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757,340 : 38,209,716 = 38,209,716 : x
  2. Step 2: Convert to fraction form
    17,757,340/38,209,716 = 38,209,716/x
  3. Step 3: Cross multiply
    17,757,340x = 38,209,716 × 38,209,716
  4. Step 4: Simplify right side
    17,757,340x = 1,459,982,396,800,656
  5. Step 5: Solve for x
    x = 1,459,982,396,800,656/17,757,340
  6. Step 6: Final answer
    x = 82,218,530.30

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Why These Related Problems?

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