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Finding the Third Proportional to 4,505,976 and 9,683,781.75

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Solution

The third proportional to 4,505,976 and 9,683,781.75 is: 20,811,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505,976 : 9,683,781.75 = 9,683,781.75 : x
  2. Step 2: Convert to fraction form
    4,505,976/9,683,781.75 = 9,683,781.75/x
  3. Step 3: Cross multiply
    4,505,976x = 9,683,781.75 × 9,683,781.75
  4. Step 4: Simplify right side
    4,505,976x = 93,775,628,981,633.06
  5. Step 5: Solve for x
    x = 93,775,628,981,633.06/4,505,976
  6. Step 6: Final answer
    x = 20,811,391.14

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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.