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Finding the Third Proportional to 2,309,632,263 and 4,741,704,936

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Solution

The third proportional to 2,309,632,263 and 4,741,704,936 is: 9,734,781,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,632,263 : 4,741,704,936 = 4,741,704,936 : x
  2. Step 2: Convert to fraction form
    2,309,632,263/4,741,704,936 = 4,741,704,936/x
  3. Step 3: Cross multiply
    2,309,632,263x = 4,741,704,936 × 4,741,704,936
  4. Step 4: Simplify right side
    2,309,632,263x = 22,483,765,700,086,763,520
  5. Step 5: Solve for x
    x = 22,483,765,700,086,763,520/2,309,632,263
  6. Step 6: Final answer
    x = 9,734,781,618.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.