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Finding the Third Proportional to 17,474,280 and 27,352,172

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Solution

The third proportional to 17,474,280 and 27,352,172 is: 42,813,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474,280 : 27,352,172 = 27,352,172 : x
  2. Step 2: Convert to fraction form
    17,474,280/27,352,172 = 27,352,172/x
  3. Step 3: Cross multiply
    17,474,280x = 27,352,172 × 27,352,172
  4. Step 4: Simplify right side
    17,474,280x = 748,141,313,117,584
  5. Step 5: Solve for x
    x = 748,141,313,117,584/17,474,280
  6. Step 6: Final answer
    x = 42,813,856.31

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Why These Related Problems?

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