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Finding the Third Proportional to 38,206,096 and 82,570,784

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Solution

The third proportional to 38,206,096 and 82,570,784 is: 178,451,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206,096 : 82,570,784 = 82,570,784 : x
  2. Step 2: Convert to fraction form
    38,206,096/82,570,784 = 82,570,784/x
  3. Step 3: Cross multiply
    38,206,096x = 82,570,784 × 82,570,784
  4. Step 4: Simplify right side
    38,206,096x = 6,817,934,370,374,656
  5. Step 5: Solve for x
    x = 6,817,934,370,374,656/38,206,096
  6. Step 6: Final answer
    x = 178,451,479.85

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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.