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Finding the Third Proportional to 24,023,498 and 51,826,132

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Solution

The third proportional to 24,023,498 and 51,826,132 is: 111,805,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023,498 : 51,826,132 = 51,826,132 : x
  2. Step 2: Convert to fraction form
    24,023,498/51,826,132 = 51,826,132/x
  3. Step 3: Cross multiply
    24,023,498x = 51,826,132 × 51,826,132
  4. Step 4: Simplify right side
    24,023,498x = 2,685,947,958,081,424
  5. Step 5: Solve for x
    x = 2,685,947,958,081,424/24,023,498
  6. Step 6: Final answer
    x = 111,805,031.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.