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Finding the Third Proportional to 6,024,138 and 9,177,390

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Solution

The third proportional to 6,024,138 and 9,177,390 is: 13,981,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,138 : 9,177,390 = 9,177,390 : x
  2. Step 2: Convert to fraction form
    6,024,138/9,177,390 = 9,177,390/x
  3. Step 3: Cross multiply
    6,024,138x = 9,177,390 × 9,177,390
  4. Step 4: Simplify right side
    6,024,138x = 84,224,487,212,100
  5. Step 5: Solve for x
    x = 84,224,487,212,100/6,024,138
  6. Step 6: Final answer
    x = 13,981,168.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.