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Finding the Third Proportional to 17,632,196 and 27,234,378

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Solution

The third proportional to 17,632,196 and 27,234,378 is: 42,065,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632,196 : 27,234,378 = 27,234,378 : x
  2. Step 2: Convert to fraction form
    17,632,196/27,234,378 = 27,234,378/x
  3. Step 3: Cross multiply
    17,632,196x = 27,234,378 × 27,234,378
  4. Step 4: Simplify right side
    17,632,196x = 741,711,345,046,884
  5. Step 5: Solve for x
    x = 741,711,345,046,884/17,632,196
  6. Step 6: Final answer
    x = 42,065,738.44

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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.