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Finding the Third Proportional to 38,352,272 and 82,396,584

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Solution

The third proportional to 38,352,272 and 82,396,584 is: 177,022,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,352,272 : 82,396,584 = 82,396,584 : x
  2. Step 2: Convert to fraction form
    38,352,272/82,396,584 = 82,396,584/x
  3. Step 3: Cross multiply
    38,352,272x = 82,396,584 × 82,396,584
  4. Step 4: Simplify right side
    38,352,272x = 6,789,197,054,869,056
  5. Step 5: Solve for x
    x = 6,789,197,054,869,056/38,352,272
  6. Step 6: Final answer
    x = 177,022,030.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.