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Finding the Third Proportional to 6,024,236 and 9,177,564

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Solution

The third proportional to 6,024,236 and 9,177,564 is: 13,981,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,236 : 9,177,564 = 9,177,564 : x
  2. Step 2: Convert to fraction form
    6,024,236/9,177,564 = 9,177,564/x
  3. Step 3: Cross multiply
    6,024,236x = 9,177,564 × 9,177,564
  4. Step 4: Simplify right side
    6,024,236x = 84,227,680,974,096
  5. Step 5: Solve for x
    x = 84,227,680,974,096/6,024,236
  6. Step 6: Final answer
    x = 13,981,471.01

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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.