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Finding the Third Proportional to 2,409,637.50 and 5,067,771.75

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Solution

The third proportional to 2,409,637.50 and 5,067,771.75 is: 10,658,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,637.50 : 5,067,771.75 = 5,067,771.75 : x
  2. Step 2: Convert to fraction form
    2,409,637.50/5,067,771.75 = 5,067,771.75/x
  3. Step 3: Cross multiply
    2,409,637.50x = 5,067,771.75 × 5,067,771.75
  4. Step 4: Simplify right side
    2,409,637.50x = 25,682,310,510,098.06
  5. Step 5: Solve for x
    x = 25,682,310,510,098.06/2,409,637.50
  6. Step 6: Final answer
    x = 10,658,163.52

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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.