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Finding the Third Proportional to 7,842,610 and 17,231,668

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Solution

The third proportional to 7,842,610 and 17,231,668 is: 37,861,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842,610 : 17,231,668 = 17,231,668 : x
  2. Step 2: Convert to fraction form
    7,842,610/17,231,668 = 17,231,668/x
  3. Step 3: Cross multiply
    7,842,610x = 17,231,668 × 17,231,668
  4. Step 4: Simplify right side
    7,842,610x = 296,930,382,062,224
  5. Step 5: Solve for x
    x = 296,930,382,062,224/7,842,610
  6. Step 6: Final answer
    x = 37,861,168.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.