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Finding the Third Proportional to 31,207,257 and 41,408,694

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Solution

The third proportional to 31,207,257 and 41,408,694 is: 54,944,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207,257 : 41,408,694 = 41,408,694 : x
  2. Step 2: Convert to fraction form
    31,207,257/41,408,694 = 41,408,694/x
  3. Step 3: Cross multiply
    31,207,257x = 41,408,694 × 41,408,694
  4. Step 4: Simplify right side
    31,207,257x = 1,714,679,938,785,636
  5. Step 5: Solve for x
    x = 1,714,679,938,785,636/31,207,257
  6. Step 6: Final answer
    x = 54,944,910.37

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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.