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Finding the Third Proportional to 5,100,624.75 and 10,776,916

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Solution

The third proportional to 5,100,624.75 and 10,776,916 is: 22,770,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100,624.75 : 10,776,916 = 10,776,916 : x
  2. Step 2: Convert to fraction form
    5,100,624.75/10,776,916 = 10,776,916/x
  3. Step 3: Cross multiply
    5,100,624.75x = 10,776,916 × 10,776,916
  4. Step 4: Simplify right side
    5,100,624.75x = 116,141,918,471,056
  5. Step 5: Solve for x
    x = 116,141,918,471,056/5,100,624.75
  6. Step 6: Final answer
    x = 22,770,135.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.