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Finding the Third Proportional to 8,202,832.50 and 17,949,505.50

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Solution

The third proportional to 8,202,832.50 and 17,949,505.50 is: 39,277,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,832.50 : 17,949,505.50 = 17,949,505.50 : x
  2. Step 2: Convert to fraction form
    8,202,832.50/17,949,505.50 = 17,949,505.50/x
  3. Step 3: Cross multiply
    8,202,832.50x = 17,949,505.50 × 17,949,505.50
  4. Step 4: Simplify right side
    8,202,832.50x = 322,184,747,694,530.25
  5. Step 5: Solve for x
    x = 322,184,747,694,530.25/8,202,832.50
  6. Step 6: Final answer
    x = 39,277,255.47

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Why These Related Problems?

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