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Finding the Third Proportional to 17,324,216 and 24,219,592

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Solution

The third proportional to 17,324,216 and 24,219,592 is: 33,859,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324,216 : 24,219,592 = 24,219,592 : x
  2. Step 2: Convert to fraction form
    17,324,216/24,219,592 = 24,219,592/x
  3. Step 3: Cross multiply
    17,324,216x = 24,219,592 × 24,219,592
  4. Step 4: Simplify right side
    17,324,216x = 586,588,636,646,464
  5. Step 5: Solve for x
    x = 586,588,636,646,464/17,324,216
  6. Step 6: Final answer
    x = 33,859,462.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.