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Finding the Third Proportional to 24,140,844 and 51,733,296

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Solution

The third proportional to 24,140,844 and 51,733,296 is: 110,863,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140,844 : 51,733,296 = 51,733,296 : x
  2. Step 2: Convert to fraction form
    24,140,844/51,733,296 = 51,733,296/x
  3. Step 3: Cross multiply
    24,140,844x = 51,733,296 × 51,733,296
  4. Step 4: Simplify right side
    24,140,844x = 2,676,333,915,023,616
  5. Step 5: Solve for x
    x = 2,676,333,915,023,616/24,140,844
  6. Step 6: Final answer
    x = 110,863,311.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.