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Finding the Third Proportional to 6,689,084 and 14,656,104

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Solution

The third proportional to 6,689,084 and 14,656,104 is: 32,112,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689,084 : 14,656,104 = 14,656,104 : x
  2. Step 2: Convert to fraction form
    6,689,084/14,656,104 = 14,656,104/x
  3. Step 3: Cross multiply
    6,689,084x = 14,656,104 × 14,656,104
  4. Step 4: Simplify right side
    6,689,084x = 214,801,384,458,816
  5. Step 5: Solve for x
    x = 214,801,384,458,816/6,689,084
  6. Step 6: Final answer
    x = 32,112,227.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.