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Finding the Third Proportional to 4,023,375.06 and 8,622,022.19

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Solution

The third proportional to 4,023,375.06 and 8,622,022.19 is: 18,476,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023,375.06 : 8,622,022.19 = 8,622,022.19 : x
  2. Step 2: Convert to fraction form
    4,023,375.06/8,622,022.19 = 8,622,022.19/x
  3. Step 3: Cross multiply
    4,023,375.06x = 8,622,022.19 × 8,622,022.19
  4. Step 4: Simplify right side
    4,023,375.06x = 74,339,266,601,742.28
  5. Step 5: Solve for x
    x = 74,339,266,601,742.28/4,023,375.06
  6. Step 6: Final answer
    x = 18,476,842.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.