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Finding the Third Proportional to 38,653,878 and 82,840,935

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Solution

The third proportional to 38,653,878 and 82,840,935 is: 177,540,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653,878 : 82,840,935 = 82,840,935 : x
  2. Step 2: Convert to fraction form
    38,653,878/82,840,935 = 82,840,935/x
  3. Step 3: Cross multiply
    38,653,878x = 82,840,935 × 82,840,935
  4. Step 4: Simplify right side
    38,653,878x = 6,862,620,511,674,225
  5. Step 5: Solve for x
    x = 6,862,620,511,674,225/38,653,878
  6. Step 6: Final answer
    x = 177,540,284.88

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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.