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Finding the Third Proportional to 366,548,695,138 and 789,117,441,164

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Solution

The third proportional to 366,548,695,138 and 789,117,441,164 is: 1,698,836,591,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,548,695,138 : 789,117,441,164 = 789,117,441,164 : x
  2. Step 2: Convert to fraction form
    366,548,695,138/789,117,441,164 = 789,117,441,164/x
  3. Step 3: Cross multiply
    366,548,695,138x = 789,117,441,164 × 789,117,441,164
  4. Step 4: Simplify right side
    366,548,695,138x = 622,706,335,949,219,006,775,296
  5. Step 5: Solve for x
    x = 622,706,335,949,219,006,775,296/366,548,695,138
  6. Step 6: Final answer
    x = 1,698,836,591,724.27

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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.