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Finding the Third Proportional to 17,474,124 and 27,352,002

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Solution

The third proportional to 17,474,124 and 27,352,002 is: 42,813,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474,124 : 27,352,002 = 27,352,002 : x
  2. Step 2: Convert to fraction form
    17,474,124/27,352,002 = 27,352,002/x
  3. Step 3: Cross multiply
    17,474,124x = 27,352,002 × 27,352,002
  4. Step 4: Simplify right side
    17,474,124x = 748,132,013,408,004
  5. Step 5: Solve for x
    x = 748,132,013,408,004/17,474,124
  6. Step 6: Final answer
    x = 42,813,706.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.