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Finding the Third Proportional to 17,893,297,844 and 26,684,778,126

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Solution

The third proportional to 17,893,297,844 and 26,684,778,126 is: 39,795,759,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893,297,844 : 26,684,778,126 = 26,684,778,126 : x
  2. Step 2: Convert to fraction form
    17,893,297,844/26,684,778,126 = 26,684,778,126/x
  3. Step 3: Cross multiply
    17,893,297,844x = 26,684,778,126 × 26,684,778,126
  4. Step 4: Simplify right side
    17,893,297,844x = 712,077,383,633,848,107,008
  5. Step 5: Solve for x
    x = 712,077,383,633,848,107,008/17,893,297,844
  6. Step 6: Final answer
    x = 39,795,759,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.