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Finding the Third Proportional to 7,989,827 and 17,474,422

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Solution

The third proportional to 7,989,827 and 17,474,422 is: 38,218,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989,827 : 17,474,422 = 17,474,422 : x
  2. Step 2: Convert to fraction form
    7,989,827/17,474,422 = 17,474,422/x
  3. Step 3: Cross multiply
    7,989,827x = 17,474,422 × 17,474,422
  4. Step 4: Simplify right side
    7,989,827x = 305,355,424,234,084
  5. Step 5: Solve for x
    x = 305,355,424,234,084/7,989,827
  6. Step 6: Final answer
    x = 38,218,027.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.