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Finding the Third Proportional to 6,467,464.50 and 10,778,458.75

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Solution

The third proportional to 6,467,464.50 and 10,778,458.75 is: 17,963,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,464.50 : 10,778,458.75 = 10,778,458.75 : x
  2. Step 2: Convert to fraction form
    6,467,464.50/10,778,458.75 = 10,778,458.75/x
  3. Step 3: Cross multiply
    6,467,464.50x = 10,778,458.75 × 10,778,458.75
  4. Step 4: Simplify right side
    6,467,464.50x = 116,175,173,025,451.56
  5. Step 5: Solve for x
    x = 116,175,173,025,451.56/6,467,464.50
  6. Step 6: Final answer
    x = 17,963,016.73

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.