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Finding the Third Proportional to 3,022,485.75 and 6,386,121.75

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Solution

The third proportional to 3,022,485.75 and 6,386,121.75 is: 13,493,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022,485.75 : 6,386,121.75 = 6,386,121.75 : x
  2. Step 2: Convert to fraction form
    3,022,485.75/6,386,121.75 = 6,386,121.75/x
  3. Step 3: Cross multiply
    3,022,485.75x = 6,386,121.75 × 6,386,121.75
  4. Step 4: Simplify right side
    3,022,485.75x = 40,782,551,005,823.06
  5. Step 5: Solve for x
    x = 40,782,551,005,823.06/3,022,485.75
  6. Step 6: Final answer
    x = 13,493,049.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.