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Finding the Third Proportional to 5,381,171 and 11,480,740

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Solution

The third proportional to 5,381,171 and 11,480,740 is: 24,494,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381,171 : 11,480,740 = 11,480,740 : x
  2. Step 2: Convert to fraction form
    5,381,171/11,480,740 = 11,480,740/x
  3. Step 3: Cross multiply
    5,381,171x = 11,480,740 × 11,480,740
  4. Step 4: Simplify right side
    5,381,171x = 131,807,390,947,600
  5. Step 5: Solve for x
    x = 131,807,390,947,600/5,381,171
  6. Step 6: Final answer
    x = 24,494,183.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.