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Finding the Third Proportional to 8,327,233 and 18,569,166

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Solution

The third proportional to 8,327,233 and 18,569,166 is: 41,407,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327,233 : 18,569,166 = 18,569,166 : x
  2. Step 2: Convert to fraction form
    8,327,233/18,569,166 = 18,569,166/x
  3. Step 3: Cross multiply
    8,327,233x = 18,569,166 × 18,569,166
  4. Step 4: Simplify right side
    8,327,233x = 344,813,925,935,556
  5. Step 5: Solve for x
    x = 344,813,925,935,556/8,327,233
  6. Step 6: Final answer
    x = 41,407,983.41

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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.