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Finding the Third Proportional to 54,609,884 and 117,324,032

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Solution

The third proportional to 54,609,884 and 117,324,032 is: 252,059,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,609,884 : 117,324,032 = 117,324,032 : x
  2. Step 2: Convert to fraction form
    54,609,884/117,324,032 = 117,324,032/x
  3. Step 3: Cross multiply
    54,609,884x = 117,324,032 × 117,324,032
  4. Step 4: Simplify right side
    54,609,884x = 13,764,928,484,737,024
  5. Step 5: Solve for x
    x = 13,764,928,484,737,024/54,609,884
  6. Step 6: Final answer
    x = 252,059,288.11

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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.