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Finding the Third Proportional to 17,754,266 and 38,205,102

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Solution

The third proportional to 17,754,266 and 38,205,102 is: 82,212,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754,266 : 38,205,102 = 38,205,102 : x
  2. Step 2: Convert to fraction form
    17,754,266/38,205,102 = 38,205,102/x
  3. Step 3: Cross multiply
    17,754,266x = 38,205,102 × 38,205,102
  4. Step 4: Simplify right side
    17,754,266x = 1,459,629,818,830,404
  5. Step 5: Solve for x
    x = 1,459,629,818,830,404/17,754,266
  6. Step 6: Final answer
    x = 82,212,906.96

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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.