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Finding the Third Proportional to 32,324,559.38 and 71,823,571.13

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Solution

The third proportional to 32,324,559.38 and 71,823,571.13 is: 159,588,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324,559.38 : 71,823,571.13 = 71,823,571.13 : x
  2. Step 2: Convert to fraction form
    32,324,559.38/71,823,571.13 = 71,823,571.13/x
  3. Step 3: Cross multiply
    32,324,559.38x = 71,823,571.13 × 71,823,571.13
  4. Step 4: Simplify right side
    32,324,559.38x = 5,158,625,369,147,934
  5. Step 5: Solve for x
    x = 5,158,625,369,147,934/32,324,559.38
  6. Step 6: Final answer
    x = 159,588,420.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.