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Finding the Third Proportional to 14,489,339,930,256 and 31,014,087,798,048

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Solution

The third proportional to 14,489,339,930,256 and 31,014,087,798,048 is: 66,384,917,917,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489,339,930,256 : 31,014,087,798,048 = 31,014,087,798,048 : x
  2. Step 2: Convert to fraction form
    14,489,339,930,256/31,014,087,798,048 = 31,014,087,798,048/x
  3. Step 3: Cross multiply
    14,489,339,930,256x = 31,014,087,798,048 × 31,014,087,798,048
  4. Step 4: Simplify right side
    14,489,339,930,256x = 961,873,641,945,029,815,885,103,104
  5. Step 5: Solve for x
    x = 961,873,641,945,029,815,885,103,104/14,489,339,930,256
  6. Step 6: Final answer
    x = 66,384,917,917,239.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.