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Finding the Third Proportional to 13,705,409.25 and 30,474,471.38

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Solution

The third proportional to 13,705,409.25 and 30,474,471.38 is: 67,761,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705,409.25 : 30,474,471.38 = 30,474,471.38 : x
  2. Step 2: Convert to fraction form
    13,705,409.25/30,474,471.38 = 30,474,471.38/x
  3. Step 3: Cross multiply
    13,705,409.25x = 30,474,471.38 × 30,474,471.38
  4. Step 4: Simplify right side
    13,705,409.25x = 928,693,405,585,694.38
  5. Step 5: Solve for x
    x = 928,693,405,585,694.38/13,705,409.25
  6. Step 6: Final answer
    x = 67,761,085.32

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.