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Finding the Third Proportional to 17,740,324 and 24,716,742

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Solution

The third proportional to 17,740,324 and 24,716,742 is: 34,436,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740,324 : 24,716,742 = 24,716,742 : x
  2. Step 2: Convert to fraction form
    17,740,324/24,716,742 = 24,716,742/x
  3. Step 3: Cross multiply
    17,740,324x = 24,716,742 × 24,716,742
  4. Step 4: Simplify right side
    17,740,324x = 610,917,335,094,564
  5. Step 5: Solve for x
    x = 610,917,335,094,564/17,740,324
  6. Step 6: Final answer
    x = 34,436,650.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.