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Finding the Third Proportional to 11,568,952,073 and 16,291,633,846

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Solution

The third proportional to 11,568,952,073 and 16,291,633,846 is: 22,942,210,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568,952,073 : 16,291,633,846 = 16,291,633,846 : x
  2. Step 2: Convert to fraction form
    11,568,952,073/16,291,633,846 = 16,291,633,846/x
  3. Step 3: Cross multiply
    11,568,952,073x = 16,291,633,846 × 16,291,633,846
  4. Step 4: Simplify right side
    11,568,952,073x = 265,417,333,372,132,753,408
  5. Step 5: Solve for x
    x = 265,417,333,372,132,753,408/11,568,952,073
  6. Step 6: Final answer
    x = 22,942,210,469.66

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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.