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Finding the Third Proportional to 17,324,214 and 24,219,582

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Solution

The third proportional to 17,324,214 and 24,219,582 is: 33,859,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324,214 : 24,219,582 = 24,219,582 : x
  2. Step 2: Convert to fraction form
    17,324,214/24,219,582 = 24,219,582/x
  3. Step 3: Cross multiply
    17,324,214x = 24,219,582 × 24,219,582
  4. Step 4: Simplify right side
    17,324,214x = 586,588,152,254,724
  5. Step 5: Solve for x
    x = 586,588,152,254,724/17,324,214
  6. Step 6: Final answer
    x = 33,859,438.14

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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.