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Finding the Third Proportional to 21,865,441.50 and 50,619,837.75

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Solution

The third proportional to 21,865,441.50 and 50,619,837.75 is: 117,188,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865,441.50 : 50,619,837.75 = 50,619,837.75 : x
  2. Step 2: Convert to fraction form
    21,865,441.50/50,619,837.75 = 50,619,837.75/x
  3. Step 3: Cross multiply
    21,865,441.50x = 50,619,837.75 × 50,619,837.75
  4. Step 4: Simplify right side
    21,865,441.50x = 2,562,367,973,836,325
  5. Step 5: Solve for x
    x = 2,562,367,973,836,325/21,865,441.50
  6. Step 6: Final answer
    x = 117,188,028.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.