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Finding the Third Proportional to 38,288,873 and 81,959,832

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Solution

The third proportional to 38,288,873 and 81,959,832 is: 175,440,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288,873 : 81,959,832 = 81,959,832 : x
  2. Step 2: Convert to fraction form
    38,288,873/81,959,832 = 81,959,832/x
  3. Step 3: Cross multiply
    38,288,873x = 81,959,832 × 81,959,832
  4. Step 4: Simplify right side
    38,288,873x = 6,717,414,061,468,224
  5. Step 5: Solve for x
    x = 6,717,414,061,468,224/38,288,873
  6. Step 6: Final answer
    x = 175,440,370.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.