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Finding the Third Proportional to 17,632,176 and 27,234,349

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Solution

The third proportional to 17,632,176 and 27,234,349 is: 42,065,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632,176 : 27,234,349 = 27,234,349 : x
  2. Step 2: Convert to fraction form
    17,632,176/27,234,349 = 27,234,349/x
  3. Step 3: Cross multiply
    17,632,176x = 27,234,349 × 27,234,349
  4. Step 4: Simplify right side
    17,632,176x = 741,709,765,453,801
  5. Step 5: Solve for x
    x = 741,709,765,453,801/17,632,176
  6. Step 6: Final answer
    x = 42,065,696.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.