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Finding the Third Proportional to 3,835,527.75 and 8,268,837.75

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Solution

The third proportional to 3,835,527.75 and 8,268,837.75 is: 17,826,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,527.75 : 8,268,837.75 = 8,268,837.75 : x
  2. Step 2: Convert to fraction form
    3,835,527.75/8,268,837.75 = 8,268,837.75/x
  3. Step 3: Cross multiply
    3,835,527.75x = 8,268,837.75 × 8,268,837.75
  4. Step 4: Simplify right side
    3,835,527.75x = 68,373,677,735,825.06
  5. Step 5: Solve for x
    x = 68,373,677,735,825.06/3,835,527.75
  6. Step 6: Final answer
    x = 17,826,406.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.