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Finding the Third Proportional to 8,511,023.25 and 18,217,605.94

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Solution

The third proportional to 8,511,023.25 and 18,217,605.94 is: 38,994,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511,023.25 : 18,217,605.94 = 18,217,605.94 : x
  2. Step 2: Convert to fraction form
    8,511,023.25/18,217,605.94 = 18,217,605.94/x
  3. Step 3: Cross multiply
    8,511,023.25x = 18,217,605.94 × 18,217,605.94
  4. Step 4: Simplify right side
    8,511,023.25x = 331,881,166,094,035.25
  5. Step 5: Solve for x
    x = 331,881,166,094,035.25/8,511,023.25
  6. Step 6: Final answer
    x = 38,994,273.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.