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Finding the Third Proportional to 54,609,138 and 117,322,530

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Solution

The third proportional to 54,609,138 and 117,322,530 is: 252,056,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,609,138 : 117,322,530 = 117,322,530 : x
  2. Step 2: Convert to fraction form
    54,609,138/117,322,530 = 117,322,530/x
  3. Step 3: Cross multiply
    54,609,138x = 117,322,530 × 117,322,530
  4. Step 4: Simplify right side
    54,609,138x = 13,764,576,045,600,900
  5. Step 5: Solve for x
    x = 13,764,576,045,600,900/54,609,138
  6. Step 6: Final answer
    x = 252,056,277.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.