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Finding the Third Proportional to 17,733,105 and 38,201,778

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Solution

The third proportional to 17,733,105 and 38,201,778 is: 82,296,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733,105 : 38,201,778 = 38,201,778 : x
  2. Step 2: Convert to fraction form
    17,733,105/38,201,778 = 38,201,778/x
  3. Step 3: Cross multiply
    17,733,105x = 38,201,778 × 38,201,778
  4. Step 4: Simplify right side
    17,733,105x = 1,459,375,842,361,284
  5. Step 5: Solve for x
    x = 1,459,375,842,361,284/17,733,105
  6. Step 6: Final answer
    x = 82,296,689.86

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