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Finding the Third Proportional to 3,233,533.50 and 7,062,165

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Solution

The third proportional to 3,233,533.50 and 7,062,165 is: 15,424,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233,533.50 : 7,062,165 = 7,062,165 : x
  2. Step 2: Convert to fraction form
    3,233,533.50/7,062,165 = 7,062,165/x
  3. Step 3: Cross multiply
    3,233,533.50x = 7,062,165 × 7,062,165
  4. Step 4: Simplify right side
    3,233,533.50x = 49,874,174,487,225
  5. Step 5: Solve for x
    x = 49,874,174,487,225/3,233,533.50
  6. Step 6: Final answer
    x = 15,424,047.56

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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.