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Finding the Third Proportional to 66,233,149,571.25 and 144,453,802,005

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Solution

The third proportional to 66,233,149,571.25 and 144,453,802,005 is: 315,052,221,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,233,149,571.25 : 144,453,802,005 = 144,453,802,005 : x
  2. Step 2: Convert to fraction form
    66,233,149,571.25/144,453,802,005 = 144,453,802,005/x
  3. Step 3: Cross multiply
    66,233,149,571.25x = 144,453,802,005 × 144,453,802,005
  4. Step 4: Simplify right side
    66,233,149,571.25x = 20,866,900,913,699,743,072,256
  5. Step 5: Solve for x
    x = 20,866,900,913,699,743,072,256/66,233,149,571.25
  6. Step 6: Final answer
    x = 315,052,221,565.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.