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Finding the Third Proportional to 17,932,320 and 38,912,832

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Solution

The third proportional to 17,932,320 and 38,912,832 is: 84,440,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932,320 : 38,912,832 = 38,912,832 : x
  2. Step 2: Convert to fraction form
    17,932,320/38,912,832 = 38,912,832/x
  3. Step 3: Cross multiply
    17,932,320x = 38,912,832 × 38,912,832
  4. Step 4: Simplify right side
    17,932,320x = 1,514,208,494,260,224
  5. Step 5: Solve for x
    x = 1,514,208,494,260,224/17,932,320
  6. Step 6: Final answer
    x = 84,440,189.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.