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Finding the Third Proportional to 38,026,181 and 82,112,458

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Solution

The third proportional to 38,026,181 and 82,112,458 is: 177,310,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026,181 : 82,112,458 = 82,112,458 : x
  2. Step 2: Convert to fraction form
    38,026,181/82,112,458 = 82,112,458/x
  3. Step 3: Cross multiply
    38,026,181x = 82,112,458 × 82,112,458
  4. Step 4: Simplify right side
    38,026,181x = 6,742,455,758,801,764
  5. Step 5: Solve for x
    x = 6,742,455,758,801,764/38,026,181
  6. Step 6: Final answer
    x = 177,310,883.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.