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Finding the Third Proportional to 4,932,749,504 and 11,510,146,591

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Solution

The third proportional to 4,932,749,504 and 11,510,146,591 is: 26,857,936,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932,749,504 : 11,510,146,591 = 11,510,146,591 : x
  2. Step 2: Convert to fraction form
    4,932,749,504/11,510,146,591 = 11,510,146,591/x
  3. Step 3: Cross multiply
    4,932,749,504x = 11,510,146,591 × 11,510,146,591
  4. Step 4: Simplify right side
    4,932,749,504x = 132,483,474,546,308,923,392
  5. Step 5: Solve for x
    x = 132,483,474,546,308,923,392/4,932,749,504
  6. Step 6: Final answer
    x = 26,857,936,823.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.