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Finding the Third Proportional to 5,601,340 and 11,408,138

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Solution

The third proportional to 5,601,340 and 11,408,138 is: 23,234,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601,340 : 11,408,138 = 11,408,138 : x
  2. Step 2: Convert to fraction form
    5,601,340/11,408,138 = 11,408,138/x
  3. Step 3: Cross multiply
    5,601,340x = 11,408,138 × 11,408,138
  4. Step 4: Simplify right side
    5,601,340x = 130,145,612,627,044
  5. Step 5: Solve for x
    x = 130,145,612,627,044/5,601,340
  6. Step 6: Final answer
    x = 23,234,728.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.