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Finding the Third Proportional to 17,754,299 and 38,205,165

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Solution

The third proportional to 17,754,299 and 38,205,165 is: 82,213,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754,299 : 38,205,165 = 38,205,165 : x
  2. Step 2: Convert to fraction form
    17,754,299/38,205,165 = 38,205,165/x
  3. Step 3: Cross multiply
    17,754,299x = 38,205,165 × 38,205,165
  4. Step 4: Simplify right side
    17,754,299x = 1,459,634,632,677,225
  5. Step 5: Solve for x
    x = 1,459,634,632,677,225/17,754,299
  6. Step 6: Final answer
    x = 82,213,025.29

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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.