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Finding the Third Proportional to 23,596,481,973 and 50,558,676,027

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Solution

The third proportional to 23,596,481,973 and 50,558,676,027 is: 108,328,848,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596,481,973 : 50,558,676,027 = 50,558,676,027 : x
  2. Step 2: Convert to fraction form
    23,596,481,973/50,558,676,027 = 50,558,676,027/x
  3. Step 3: Cross multiply
    23,596,481,973x = 50,558,676,027 × 50,558,676,027
  4. Step 4: Simplify right side
    23,596,481,973x = 2,556,179,721,603,144,744,960
  5. Step 5: Solve for x
    x = 2,556,179,721,603,144,744,960/23,596,481,973
  6. Step 6: Final answer
    x = 108,328,848,534.63

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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.