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Finding the Third Proportional to 11,568,952,083 and 16,291,633,863

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Solution

The third proportional to 11,568,952,083 and 16,291,633,863 is: 22,942,210,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568,952,083 : 16,291,633,863 = 16,291,633,863 : x
  2. Step 2: Convert to fraction form
    11,568,952,083/16,291,633,863 = 16,291,633,863/x
  3. Step 3: Cross multiply
    11,568,952,083x = 16,291,633,863 × 16,291,633,863
  4. Step 4: Simplify right side
    11,568,952,083x = 265,417,333,926,048,301,056
  5. Step 5: Solve for x
    x = 265,417,333,926,048,301,056/11,568,952,083
  6. Step 6: Final answer
    x = 22,942,210,497.71

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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.