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Finding the Third Proportional to 2,485,012.50 and 5,435,284.50

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Solution

The third proportional to 2,485,012.50 and 5,435,284.50 is: 11,888,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485,012.50 : 5,435,284.50 = 5,435,284.50 : x
  2. Step 2: Convert to fraction form
    2,485,012.50/5,435,284.50 = 5,435,284.50/x
  3. Step 3: Cross multiply
    2,485,012.50x = 5,435,284.50 × 5,435,284.50
  4. Step 4: Simplify right side
    2,485,012.50x = 29,542,317,595,940.25
  5. Step 5: Solve for x
    x = 29,542,317,595,940.25/2,485,012.50
  6. Step 6: Final answer
    x = 11,888,196.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.