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Finding the Third Proportional to 37,743,458 and 82,552,019

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Solution

The third proportional to 37,743,458 and 82,552,019 is: 180,556,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743,458 : 82,552,019 = 82,552,019 : x
  2. Step 2: Convert to fraction form
    37,743,458/82,552,019 = 82,552,019/x
  3. Step 3: Cross multiply
    37,743,458x = 82,552,019 × 82,552,019
  4. Step 4: Simplify right side
    37,743,458x = 6,814,835,840,976,361
  5. Step 5: Solve for x
    x = 6,814,835,840,976,361/37,743,458
  6. Step 6: Final answer
    x = 180,556,742.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.