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Finding the Third Proportional to 6,332,617.50 and 13,826,530.50

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Solution

The third proportional to 6,332,617.50 and 13,826,530.50 is: 30,188,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332,617.50 : 13,826,530.50 = 13,826,530.50 : x
  2. Step 2: Convert to fraction form
    6,332,617.50/13,826,530.50 = 13,826,530.50/x
  3. Step 3: Cross multiply
    6,332,617.50x = 13,826,530.50 × 13,826,530.50
  4. Step 4: Simplify right side
    6,332,617.50x = 191,172,945,667,430.25
  5. Step 5: Solve for x
    x = 191,172,945,667,430.25/6,332,617.50
  6. Step 6: Final answer
    x = 30,188,614.06

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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.