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Finding the Third Proportional to 38,580,770 and 83,219,179

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Solution

The third proportional to 38,580,770 and 83,219,179 is: 179,504,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,770 : 83,219,179 = 83,219,179 : x
  2. Step 2: Convert to fraction form
    38,580,770/83,219,179 = 83,219,179/x
  3. Step 3: Cross multiply
    38,580,770x = 83,219,179 × 83,219,179
  4. Step 4: Simplify right side
    38,580,770x = 6,925,431,753,434,041
  5. Step 5: Solve for x
    x = 6,925,431,753,434,041/38,580,770
  6. Step 6: Final answer
    x = 179,504,757.25

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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.