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Finding the Third Proportional to 31,206,870 and 41,408,172

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Solution

The third proportional to 31,206,870 and 41,408,172 is: 54,944,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206,870 : 41,408,172 = 41,408,172 : x
  2. Step 2: Convert to fraction form
    31,206,870/41,408,172 = 41,408,172/x
  3. Step 3: Cross multiply
    31,206,870x = 41,408,172 × 41,408,172
  4. Step 4: Simplify right side
    31,206,870x = 1,714,636,708,381,584
  5. Step 5: Solve for x
    x = 1,714,636,708,381,584/31,206,870
  6. Step 6: Final answer
    x = 54,944,206.46

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