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Finding the Third Proportional to 4,729,633,728 and 6,651,913,401

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Solution

The third proportional to 4,729,633,728 and 6,651,913,401 is: 9,355,471,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,633,728 : 6,651,913,401 = 6,651,913,401 : x
  2. Step 2: Convert to fraction form
    4,729,633,728/6,651,913,401 = 6,651,913,401/x
  3. Step 3: Cross multiply
    4,729,633,728x = 6,651,913,401 × 6,651,913,401
  4. Step 4: Simplify right side
    4,729,633,728x = 44,247,951,894,403,383,296
  5. Step 5: Solve for x
    x = 44,247,951,894,403,383,296/4,729,633,728
  6. Step 6: Final answer
    x = 9,355,471,150.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.