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Finding the Third Proportional to 10,235,225.25 and 22,517,471.25

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Solution

The third proportional to 10,235,225.25 and 22,517,471.25 is: 49,538,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235,225.25 : 22,517,471.25 = 22,517,471.25 : x
  2. Step 2: Convert to fraction form
    10,235,225.25/22,517,471.25 = 22,517,471.25/x
  3. Step 3: Cross multiply
    10,235,225.25x = 22,517,471.25 × 22,517,471.25
  4. Step 4: Simplify right side
    10,235,225.25x = 507,036,511,494,576.56
  5. Step 5: Solve for x
    x = 507,036,511,494,576.56/10,235,225.25
  6. Step 6: Final answer
    x = 49,538,383.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.