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Finding the Third Proportional to 38,787,269 and 83,459,194

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Solution

The third proportional to 38,787,269 and 83,459,194 is: 179,580,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,787,269 : 83,459,194 = 83,459,194 : x
  2. Step 2: Convert to fraction form
    38,787,269/83,459,194 = 83,459,194/x
  3. Step 3: Cross multiply
    38,787,269x = 83,459,194 × 83,459,194
  4. Step 4: Simplify right side
    38,787,269x = 6,965,437,063,129,636
  5. Step 5: Solve for x
    x = 6,965,437,063,129,636/38,787,269
  6. Step 6: Final answer
    x = 179,580,497.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.