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Finding the Third Proportional to 6,478,987,992 and 9,676,025,676

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Solution

The third proportional to 6,478,987,992 and 9,676,025,676 is: 14,450,632,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,987,992 : 9,676,025,676 = 9,676,025,676 : x
  2. Step 2: Convert to fraction form
    6,478,987,992/9,676,025,676 = 9,676,025,676/x
  3. Step 3: Cross multiply
    6,478,987,992x = 9,676,025,676 × 9,676,025,676
  4. Step 4: Simplify right side
    6,478,987,992x = 93,625,472,882,611,257,344
  5. Step 5: Solve for x
    x = 93,625,472,882,611,257,344/6,478,987,992
  6. Step 6: Final answer
    x = 14,450,632,258.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.