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Finding the Third Proportional to 3,530,823.75 and 5,455,932.75

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Solution

The third proportional to 3,530,823.75 and 5,455,932.75 is: 8,430,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530,823.75 : 5,455,932.75 = 5,455,932.75 : x
  2. Step 2: Convert to fraction form
    3,530,823.75/5,455,932.75 = 5,455,932.75/x
  3. Step 3: Cross multiply
    3,530,823.75x = 5,455,932.75 × 5,455,932.75
  4. Step 4: Simplify right side
    3,530,823.75x = 29,767,202,172,522.56
  5. Step 5: Solve for x
    x = 29,767,202,172,522.56/3,530,823.75
  6. Step 6: Final answer
    x = 8,430,667.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.