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Finding the Third Proportional to 2,705,729.06 and 5,635,352.25

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Solution

The third proportional to 2,705,729.06 and 5,635,352.25 is: 11,737,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705,729.06 : 5,635,352.25 = 5,635,352.25 : x
  2. Step 2: Convert to fraction form
    2,705,729.06/5,635,352.25 = 5,635,352.25/x
  3. Step 3: Cross multiply
    2,705,729.06x = 5,635,352.25 × 5,635,352.25
  4. Step 4: Simplify right side
    2,705,729.06x = 31,757,194,981,580.06
  5. Step 5: Solve for x
    x = 31,757,194,981,580.06/2,705,729.06
  6. Step 6: Final answer
    x = 11,737,019.58

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.