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Finding the Third Proportional to 8,122,828 and 17,646,188

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Solution

The third proportional to 8,122,828 and 17,646,188 is: 38,334,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122,828 : 17,646,188 = 17,646,188 : x
  2. Step 2: Convert to fraction form
    8,122,828/17,646,188 = 17,646,188/x
  3. Step 3: Cross multiply
    8,122,828x = 17,646,188 × 17,646,188
  4. Step 4: Simplify right side
    8,122,828x = 311,387,950,931,344
  5. Step 5: Solve for x
    x = 311,387,950,931,344/8,122,828
  6. Step 6: Final answer
    x = 38,334,918.69

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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.