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Finding the Third Proportional to 55,235,682 and 82,853,512

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Solution

The third proportional to 55,235,682 and 82,853,512 is: 124,280,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,235,682 : 82,853,512 = 82,853,512 : x
  2. Step 2: Convert to fraction form
    55,235,682/82,853,512 = 82,853,512/x
  3. Step 3: Cross multiply
    55,235,682x = 82,853,512 × 82,853,512
  4. Step 4: Simplify right side
    55,235,682x = 6,864,704,450,734,144
  5. Step 5: Solve for x
    x = 6,864,704,450,734,144/55,235,682
  6. Step 6: Final answer
    x = 124,280,251.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.