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Finding the Third Proportional to 14,400,838.50 and 20,256,585.75

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Solution

The third proportional to 14,400,838.50 and 20,256,585.75 is: 28,493,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400,838.50 : 20,256,585.75 = 20,256,585.75 : x
  2. Step 2: Convert to fraction form
    14,400,838.50/20,256,585.75 = 20,256,585.75/x
  3. Step 3: Cross multiply
    14,400,838.50x = 20,256,585.75 × 20,256,585.75
  4. Step 4: Simplify right side
    14,400,838.50x = 410,329,266,247,103.06
  5. Step 5: Solve for x
    x = 410,329,266,247,103.06/14,400,838.50
  6. Step 6: Final answer
    x = 28,493,428.79

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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.