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Finding the Third Proportional to 14,400,843 and 20,256,591.75

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Solution

The third proportional to 14,400,843 and 20,256,591.75 is: 28,493,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400,843 : 20,256,591.75 = 20,256,591.75 : x
  2. Step 2: Convert to fraction form
    14,400,843/20,256,591.75 = 20,256,591.75/x
  3. Step 3: Cross multiply
    14,400,843x = 20,256,591.75 × 20,256,591.75
  4. Step 4: Simplify right side
    14,400,843x = 410,329,509,326,168.06
  5. Step 5: Solve for x
    x = 410,329,509,326,168.06/14,400,843
  6. Step 6: Final answer
    x = 28,493,436.76

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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.