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Finding the Third Proportional to 31,207,263 and 41,408,703

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Solution

The third proportional to 31,207,263 and 41,408,703 is: 54,944,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207,263 : 41,408,703 = 41,408,703 : x
  2. Step 2: Convert to fraction form
    31,207,263/41,408,703 = 41,408,703/x
  3. Step 3: Cross multiply
    31,207,263x = 41,408,703 × 41,408,703
  4. Step 4: Simplify right side
    31,207,263x = 1,714,680,684,142,209
  5. Step 5: Solve for x
    x = 1,714,680,684,142,209/31,207,263
  6. Step 6: Final answer
    x = 54,944,923.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.