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Finding the Third Proportional to 24,782,211 and 34,837,188

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Solution

The third proportional to 24,782,211 and 34,837,188 is: 48,971,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782,211 : 34,837,188 = 34,837,188 : x
  2. Step 2: Convert to fraction form
    24,782,211/34,837,188 = 34,837,188/x
  3. Step 3: Cross multiply
    24,782,211x = 34,837,188 × 34,837,188
  4. Step 4: Simplify right side
    24,782,211x = 1,213,629,667,747,344
  5. Step 5: Solve for x
    x = 1,213,629,667,747,344/24,782,211
  6. Step 6: Final answer
    x = 48,971,807.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.