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Finding the Third Proportional to 3,772,311.75 and 5,983,120.13

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Solution

The third proportional to 3,772,311.75 and 5,983,120.13 is: 9,489,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772,311.75 : 5,983,120.13 = 5,983,120.13 : x
  2. Step 2: Convert to fraction form
    3,772,311.75/5,983,120.13 = 5,983,120.13/x
  3. Step 3: Cross multiply
    3,772,311.75x = 5,983,120.13 × 5,983,120.13
  4. Step 4: Simplify right side
    3,772,311.75x = 35,797,726,430,180.02
  5. Step 5: Solve for x
    x = 35,797,726,430,180.02/3,772,311.75
  6. Step 6: Final answer
    x = 9,489,599.16

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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.