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Finding the Third Proportional to 38,227,176 and 83,171,880

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Solution

The third proportional to 38,227,176 and 83,171,880 is: 180,959,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227,176 : 83,171,880 = 83,171,880 : x
  2. Step 2: Convert to fraction form
    38,227,176/83,171,880 = 83,171,880/x
  3. Step 3: Cross multiply
    38,227,176x = 83,171,880 × 83,171,880
  4. Step 4: Simplify right side
    38,227,176x = 6,917,561,622,734,400
  5. Step 5: Solve for x
    x = 6,917,561,622,734,400/38,227,176
  6. Step 6: Final answer
    x = 180,959,263.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.