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Finding the Third Proportional to 38,653,812 and 82,840,801.50

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Solution

The third proportional to 38,653,812 and 82,840,801.50 is: 177,540,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653,812 : 82,840,801.50 = 82,840,801.50 : x
  2. Step 2: Convert to fraction form
    38,653,812/82,840,801.50 = 82,840,801.50/x
  3. Step 3: Cross multiply
    38,653,812x = 82,840,801.50 × 82,840,801.50
  4. Step 4: Simplify right side
    38,653,812x = 6,862,598,393,162,402
  5. Step 5: Solve for x
    x = 6,862,598,393,162,402/38,653,812
  6. Step 6: Final answer
    x = 177,540,015.80

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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.