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Finding the Third Proportional to 8,291,945 and 17,942,098

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Solution

The third proportional to 8,291,945 and 17,942,098 is: 38,823,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291,945 : 17,942,098 = 17,942,098 : x
  2. Step 2: Convert to fraction form
    8,291,945/17,942,098 = 17,942,098/x
  3. Step 3: Cross multiply
    8,291,945x = 17,942,098 × 17,942,098
  4. Step 4: Simplify right side
    8,291,945x = 321,918,880,641,604
  5. Step 5: Solve for x
    x = 321,918,880,641,604/8,291,945
  6. Step 6: Final answer
    x = 38,823,084.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.