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Finding the Third Proportional to 54,188,485 and 82,553,120

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Solution

The third proportional to 54,188,485 and 82,553,120 is: 125,765,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,188,485 : 82,553,120 = 82,553,120 : x
  2. Step 2: Convert to fraction form
    54,188,485/82,553,120 = 82,553,120/x
  3. Step 3: Cross multiply
    54,188,485x = 82,553,120 × 82,553,120
  4. Step 4: Simplify right side
    54,188,485x = 6,815,017,621,734,400
  5. Step 5: Solve for x
    x = 6,815,017,621,734,400/54,188,485
  6. Step 6: Final answer
    x = 125,765,051.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.