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Finding the Third Proportional to 4,786,662.75 and 7,184,895

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Solution

The third proportional to 4,786,662.75 and 7,184,895 is: 10,784,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,662.75 : 7,184,895 = 7,184,895 : x
  2. Step 2: Convert to fraction form
    4,786,662.75/7,184,895 = 7,184,895/x
  3. Step 3: Cross multiply
    4,786,662.75x = 7,184,895 × 7,184,895
  4. Step 4: Simplify right side
    4,786,662.75x = 51,622,716,161,025
  5. Step 5: Solve for x
    x = 51,622,716,161,025/4,786,662.75
  6. Step 6: Final answer
    x = 10,784,698.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.