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Finding the Third Proportional to 4,738,019 and 7,278,177

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Solution

The third proportional to 4,738,019 and 7,278,177 is: 11,180,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,019 : 7,278,177 = 7,278,177 : x
  2. Step 2: Convert to fraction form
    4,738,019/7,278,177 = 7,278,177/x
  3. Step 3: Cross multiply
    4,738,019x = 7,278,177 × 7,278,177
  4. Step 4: Simplify right side
    4,738,019x = 52,971,860,443,329
  5. Step 5: Solve for x
    x = 52,971,860,443,329/4,738,019
  6. Step 6: Final answer
    x = 11,180,170.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.