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Finding the Third Proportional to 6,594,891.75 and 14,317,769.25

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Solution

The third proportional to 6,594,891.75 and 14,317,769.25 is: 31,084,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,891.75 : 14,317,769.25 = 14,317,769.25 : x
  2. Step 2: Convert to fraction form
    6,594,891.75/14,317,769.25 = 14,317,769.25/x
  3. Step 3: Cross multiply
    6,594,891.75x = 14,317,769.25 × 14,317,769.25
  4. Step 4: Simplify right side
    6,594,891.75x = 204,998,516,296,245.56
  5. Step 5: Solve for x
    x = 204,998,516,296,245.56/6,594,891.75
  6. Step 6: Final answer
    x = 31,084,439.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.