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Finding the Third Proportional to 8,327,173.50 and 18,569,026.13

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Solution

The third proportional to 8,327,173.50 and 18,569,026.13 is: 41,407,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327,173.50 : 18,569,026.13 = 18,569,026.13 : x
  2. Step 2: Convert to fraction form
    8,327,173.50/18,569,026.13 = 18,569,026.13/x
  3. Step 3: Cross multiply
    8,327,173.50x = 18,569,026.13 × 18,569,026.13
  4. Step 4: Simplify right side
    8,327,173.50x = 344,808,731,230,932.50
  5. Step 5: Solve for x
    x = 344,808,731,230,932.50/8,327,173.50
  6. Step 6: Final answer
    x = 41,407,655.46

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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.