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Finding the Third Proportional to 17,632,198 and 27,234,381

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Solution

The third proportional to 17,632,198 and 27,234,381 is: 42,065,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632,198 : 27,234,381 = 27,234,381 : x
  2. Step 2: Convert to fraction form
    17,632,198/27,234,381 = 27,234,381/x
  3. Step 3: Cross multiply
    17,632,198x = 27,234,381 × 27,234,381
  4. Step 4: Simplify right side
    17,632,198x = 741,711,508,453,161
  5. Step 5: Solve for x
    x = 741,711,508,453,161/17,632,198
  6. Step 6: Final answer
    x = 42,065,742.94

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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.