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Finding the Third Proportional to 54,225,062 and 82,608,177

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Solution

The third proportional to 54,225,062 and 82,608,177 is: 125,847,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,225,062 : 82,608,177 = 82,608,177 : x
  2. Step 2: Convert to fraction form
    54,225,062/82,608,177 = 82,608,177/x
  3. Step 3: Cross multiply
    54,225,062x = 82,608,177 × 82,608,177
  4. Step 4: Simplify right side
    54,225,062x = 6,824,110,907,263,329
  5. Step 5: Solve for x
    x = 6,824,110,907,263,329/54,225,062
  6. Step 6: Final answer
    x = 125,847,913.41

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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.