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Finding the Third Proportional to 3,853,464.10 and 8,025,723.32

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Solution

The third proportional to 3,853,464.10 and 8,025,723.32 is: 16,715,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853,464.10 : 8,025,723.32 = 8,025,723.32 : x
  2. Step 2: Convert to fraction form
    3,853,464.10/8,025,723.32 = 8,025,723.32/x
  3. Step 3: Cross multiply
    3,853,464.10x = 8,025,723.32 × 8,025,723.32
  4. Step 4: Simplify right side
    3,853,464.10x = 64,412,234,751,502.93
  5. Step 5: Solve for x
    x = 64,412,234,751,502.93/3,853,464.10
  6. Step 6: Final answer
    x = 16,715,410.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.