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Finding the Third Proportional to 2,530,198.50 and 5,509,642.50

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Solution

The third proportional to 2,530,198.50 and 5,509,642.50 is: 11,997,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530,198.50 : 5,509,642.50 = 5,509,642.50 : x
  2. Step 2: Convert to fraction form
    2,530,198.50/5,509,642.50 = 5,509,642.50/x
  3. Step 3: Cross multiply
    2,530,198.50x = 5,509,642.50 × 5,509,642.50
  4. Step 4: Simplify right side
    2,530,198.50x = 30,356,160,477,806.25
  5. Step 5: Solve for x
    x = 30,356,160,477,806.25/2,530,198.50
  6. Step 6: Final answer
    x = 11,997,541.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.