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Finding the Third Proportional to 3,211,440.78 and 7,493,614.54

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Solution

The third proportional to 3,211,440.78 and 7,493,614.54 is: 17,485,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,440.78 : 7,493,614.54 = 7,493,614.54 : x
  2. Step 2: Convert to fraction form
    3,211,440.78/7,493,614.54 = 7,493,614.54/x
  3. Step 3: Cross multiply
    3,211,440.78x = 7,493,614.54 × 7,493,614.54
  4. Step 4: Simplify right side
    3,211,440.78x = 56,154,258,889,321.95
  5. Step 5: Solve for x
    x = 56,154,258,889,321.95/3,211,440.78
  6. Step 6: Final answer
    x = 17,485,690.32

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.