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Finding the Third Proportional to 24,214,074.75 and 36,769,536

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Solution

The third proportional to 24,214,074.75 and 36,769,536 is: 55,835,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214,074.75 : 36,769,536 = 36,769,536 : x
  2. Step 2: Convert to fraction form
    24,214,074.75/36,769,536 = 36,769,536/x
  3. Step 3: Cross multiply
    24,214,074.75x = 36,769,536 × 36,769,536
  4. Step 4: Simplify right side
    24,214,074.75x = 1,351,998,777,655,296
  5. Step 5: Solve for x
    x = 1,351,998,777,655,296/24,214,074.75
  6. Step 6: Final answer
    x = 55,835,244.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.