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Finding the Third Proportional to 38,288,869 and 81,959,823

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Solution

The third proportional to 38,288,869 and 81,959,823 is: 175,440,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288,869 : 81,959,823 = 81,959,823 : x
  2. Step 2: Convert to fraction form
    38,288,869/81,959,823 = 81,959,823/x
  3. Step 3: Cross multiply
    38,288,869x = 81,959,823 × 81,959,823
  4. Step 4: Simplify right side
    38,288,869x = 6,717,412,586,191,329
  5. Step 5: Solve for x
    x = 6,717,412,586,191,329/38,288,869
  6. Step 6: Final answer
    x = 175,440,350.20

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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.