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Finding the Third Proportional to 5,671,193 and 12,444,631

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Solution

The third proportional to 5,671,193 and 12,444,631 is: 27,307,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,193 : 12,444,631 = 12,444,631 : x
  2. Step 2: Convert to fraction form
    5,671,193/12,444,631 = 12,444,631/x
  3. Step 3: Cross multiply
    5,671,193x = 12,444,631 × 12,444,631
  4. Step 4: Simplify right side
    5,671,193x = 154,868,840,726,161
  5. Step 5: Solve for x
    x = 154,868,840,726,161/5,671,193
  6. Step 6: Final answer
    x = 27,307,982.77

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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.