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Finding the Third Proportional to 173,967,441,376.50 and 374,522,524,416

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Solution

The third proportional to 173,967,441,376.50 and 374,522,524,416 is: 806,283,751,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,967,441,376.50 : 374,522,524,416 = 374,522,524,416 : x
  2. Step 2: Convert to fraction form
    173,967,441,376.50/374,522,524,416 = 374,522,524,416/x
  3. Step 3: Cross multiply
    173,967,441,376.50x = 374,522,524,416 × 374,522,524,416
  4. Step 4: Simplify right side
    173,967,441,376.50x = 140,267,121,294,933,313,454,080
  5. Step 5: Solve for x
    x = 140,267,121,294,933,313,454,080/173,967,441,376.50
  6. Step 6: Final answer
    x = 806,283,751,632.40

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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.