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Finding the Third Proportional to 8,227,680 and 17,719,768

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Solution

The third proportional to 8,227,680 and 17,719,768 is: 38,162,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227,680 : 17,719,768 = 17,719,768 : x
  2. Step 2: Convert to fraction form
    8,227,680/17,719,768 = 17,719,768/x
  3. Step 3: Cross multiply
    8,227,680x = 17,719,768 × 17,719,768
  4. Step 4: Simplify right side
    8,227,680x = 313,990,177,973,824
  5. Step 5: Solve for x
    x = 313,990,177,973,824/8,227,680
  6. Step 6: Final answer
    x = 38,162,662.86

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