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Finding the Third Proportional to 366,548,694,923 and 789,117,440,755

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Solution

The third proportional to 366,548,694,923 and 789,117,440,755 is: 1,698,836,590,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,548,694,923 : 789,117,440,755 = 789,117,440,755 : x
  2. Step 2: Convert to fraction form
    366,548,694,923/789,117,440,755 = 789,117,440,755/x
  3. Step 3: Cross multiply
    366,548,694,923x = 789,117,440,755 × 789,117,440,755
  4. Step 4: Simplify right side
    366,548,694,923x = 622,706,335,303,720,989,884,416
  5. Step 5: Solve for x
    x = 622,706,335,303,720,989,884,416/366,548,694,923
  6. Step 6: Final answer
    x = 1,698,836,590,959.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.