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Finding the Third Proportional to 5,981,380 and 13,120,765

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Solution

The third proportional to 5,981,380 and 13,120,765 is: 28,781,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981,380 : 13,120,765 = 13,120,765 : x
  2. Step 2: Convert to fraction form
    5,981,380/13,120,765 = 13,120,765/x
  3. Step 3: Cross multiply
    5,981,380x = 13,120,765 × 13,120,765
  4. Step 4: Simplify right side
    5,981,380x = 172,154,474,185,225
  5. Step 5: Solve for x
    x = 172,154,474,185,225/5,981,380
  6. Step 6: Final answer
    x = 28,781,731.67

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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.