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Finding the Third Proportional to 38,642,434 and 83,338,144

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Solution

The third proportional to 38,642,434 and 83,338,144 is: 179,731,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642,434 : 83,338,144 = 83,338,144 : x
  2. Step 2: Convert to fraction form
    38,642,434/83,338,144 = 83,338,144/x
  3. Step 3: Cross multiply
    38,642,434x = 83,338,144 × 83,338,144
  4. Step 4: Simplify right side
    38,642,434x = 6,945,246,245,364,736
  5. Step 5: Solve for x
    x = 6,945,246,245,364,736/38,642,434
  6. Step 6: Final answer
    x = 179,731,076.09

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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.