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Finding the Third Proportional to 6,024,144 and 9,177,399

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Solution

The third proportional to 6,024,144 and 9,177,399 is: 13,981,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,144 : 9,177,399 = 9,177,399 : x
  2. Step 2: Convert to fraction form
    6,024,144/9,177,399 = 9,177,399/x
  3. Step 3: Cross multiply
    6,024,144x = 9,177,399 × 9,177,399
  4. Step 4: Simplify right side
    6,024,144x = 84,224,652,405,201
  5. Step 5: Solve for x
    x = 84,224,652,405,201/6,024,144
  6. Step 6: Final answer
    x = 13,981,181.79

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Why These Related Problems?

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