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Finding the Third Proportional to 366,548,695,144 and 789,117,441,176

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Solution

The third proportional to 366,548,695,144 and 789,117,441,176 is: 1,698,836,591,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,548,695,144 : 789,117,441,176 = 789,117,441,176 : x
  2. Step 2: Convert to fraction form
    366,548,695,144/789,117,441,176 = 789,117,441,176/x
  3. Step 3: Cross multiply
    366,548,695,144x = 789,117,441,176 × 789,117,441,176
  4. Step 4: Simplify right side
    366,548,695,144x = 622,706,335,968,157,799,284,736
  5. Step 5: Solve for x
    x = 622,706,335,968,157,799,284,736/366,548,695,144
  6. Step 6: Final answer
    x = 1,698,836,591,748.13

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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.