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Finding the Third Proportional to 5,183,919 and 11,311,164

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Solution

The third proportional to 5,183,919 and 11,311,164 is: 24,680,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183,919 : 11,311,164 = 11,311,164 : x
  2. Step 2: Convert to fraction form
    5,183,919/11,311,164 = 11,311,164/x
  3. Step 3: Cross multiply
    5,183,919x = 11,311,164 × 11,311,164
  4. Step 4: Simplify right side
    5,183,919x = 127,942,431,034,896
  5. Step 5: Solve for x
    x = 127,942,431,034,896/5,183,919
  6. Step 6: Final answer
    x = 24,680,638.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.