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Finding the Third Proportional to 2,568,914.25 and 5,525,338.50

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Solution

The third proportional to 2,568,914.25 and 5,525,338.50 is: 11,884,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568,914.25 : 5,525,338.50 = 5,525,338.50 : x
  2. Step 2: Convert to fraction form
    2,568,914.25/5,525,338.50 = 5,525,338.50/x
  3. Step 3: Cross multiply
    2,568,914.25x = 5,525,338.50 × 5,525,338.50
  4. Step 4: Simplify right side
    2,568,914.25x = 30,529,365,539,582.25
  5. Step 5: Solve for x
    x = 30,529,365,539,582.25/2,568,914.25
  6. Step 6: Final answer
    x = 11,884,151.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.