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Finding the Third Proportional to 2,720,993,498,816.80 and 5,968,785,354,975.60

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Solution

The third proportional to 2,720,993,498,816.80 and 5,968,785,354,975.60 is: 13,093,158,300,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720,993,498,816.80 : 5,968,785,354,975.60 = 5,968,785,354,975.60 : x
  2. Step 2: Convert to fraction form
    2,720,993,498,816.80/5,968,785,354,975.60 = 5,968,785,354,975.60/x
  3. Step 3: Cross multiply
    2,720,993,498,816.80x = 5,968,785,354,975.60 × 5,968,785,354,975.60
  4. Step 4: Simplify right side
    2,720,993,498,816.80x = 35,626,398,613,771,194,881,540,096
  5. Step 5: Solve for x
    x = 35,626,398,613,771,194,881,540,096/2,720,993,498,816.80
  6. Step 6: Final answer
    x = 13,093,158,300,180.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.