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Finding the Third Proportional to 17,728,144 and 38,104,304

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Solution

The third proportional to 17,728,144 and 38,104,304 is: 81,900,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728,144 : 38,104,304 = 38,104,304 : x
  2. Step 2: Convert to fraction form
    17,728,144/38,104,304 = 38,104,304/x
  3. Step 3: Cross multiply
    17,728,144x = 38,104,304 × 38,104,304
  4. Step 4: Simplify right side
    17,728,144x = 1,451,937,983,324,416
  5. Step 5: Solve for x
    x = 1,451,937,983,324,416/17,728,144
  6. Step 6: Final answer
    x = 81,900,168.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.