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Finding the Third Proportional to 5,674,257.50 and 9,033,270.75

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Solution

The third proportional to 5,674,257.50 and 9,033,270.75 is: 14,380,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,257.50 : 9,033,270.75 = 9,033,270.75 : x
  2. Step 2: Convert to fraction form
    5,674,257.50/9,033,270.75 = 9,033,270.75/x
  3. Step 3: Cross multiply
    5,674,257.50x = 9,033,270.75 × 9,033,270.75
  4. Step 4: Simplify right side
    5,674,257.50x = 81,599,980,442,805.56
  5. Step 5: Solve for x
    x = 81,599,980,442,805.56/5,674,257.50
  6. Step 6: Final answer
    x = 14,380,732.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.