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Finding the Third Proportional to 8,327,234 and 18,569,168

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Solution

The third proportional to 8,327,234 and 18,569,168 is: 41,407,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327,234 : 18,569,168 = 18,569,168 : x
  2. Step 2: Convert to fraction form
    8,327,234/18,569,168 = 18,569,168/x
  3. Step 3: Cross multiply
    8,327,234x = 18,569,168 × 18,569,168
  4. Step 4: Simplify right side
    8,327,234x = 344,814,000,212,224
  5. Step 5: Solve for x
    x = 344,814,000,212,224/8,327,234
  6. Step 6: Final answer
    x = 41,407,987.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.