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Finding the Third Proportional to 17,754,289 and 38,205,144

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Solution

The third proportional to 17,754,289 and 38,205,144 is: 82,212,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754,289 : 38,205,144 = 38,205,144 : x
  2. Step 2: Convert to fraction form
    17,754,289/38,205,144 = 38,205,144/x
  3. Step 3: Cross multiply
    17,754,289x = 38,205,144 × 38,205,144
  4. Step 4: Simplify right side
    17,754,289x = 1,459,633,028,060,736
  5. Step 5: Solve for x
    x = 1,459,633,028,060,736/17,754,289
  6. Step 6: Final answer
    x = 82,212,981.22

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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.