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Finding the Third Proportional to 66,591,856,126.69 and 157,144,862,338.88

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Solution

The third proportional to 66,591,856,126.69 and 157,144,862,338.88 is: 370,833,750,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,591,856,126.69 : 157,144,862,338.88 = 157,144,862,338.88 : x
  2. Step 2: Convert to fraction form
    66,591,856,126.69/157,144,862,338.88 = 157,144,862,338.88/x
  3. Step 3: Cross multiply
    66,591,856,126.69x = 157,144,862,338.88 × 157,144,862,338.88
  4. Step 4: Simplify right side
    66,591,856,126.69x = 24,694,507,759,505,546,149,888
  5. Step 5: Solve for x
    x = 24,694,507,759,505,546,149,888/66,591,856,126.69
  6. Step 6: Final answer
    x = 370,833,750,489.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.