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Finding the Third Proportional to 2,409,633 and 5,067,762.75

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Solution

The third proportional to 2,409,633 and 5,067,762.75 is: 10,658,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,633 : 5,067,762.75 = 5,067,762.75 : x
  2. Step 2: Convert to fraction form
    2,409,633/5,067,762.75 = 5,067,762.75/x
  3. Step 3: Cross multiply
    2,409,633x = 5,067,762.75 × 5,067,762.75
  4. Step 4: Simplify right side
    2,409,633x = 25,682,219,290,287.56
  5. Step 5: Solve for x
    x = 25,682,219,290,287.56/2,409,633
  6. Step 6: Final answer
    x = 10,658,145.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.