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Finding the Third Proportional to 10,110,910,027 and 21,981,677,989

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Solution

The third proportional to 10,110,910,027 and 21,981,677,989 is: 47,789,384,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110,910,027 : 21,981,677,989 = 21,981,677,989 : x
  2. Step 2: Convert to fraction form
    10,110,910,027/21,981,677,989 = 21,981,677,989/x
  3. Step 3: Cross multiply
    10,110,910,027x = 21,981,677,989 × 21,981,677,989
  4. Step 4: Simplify right side
    10,110,910,027x = 483,194,167,212,087,115,776
  5. Step 5: Solve for x
    x = 483,194,167,212,087,115,776/10,110,910,027
  6. Step 6: Final answer
    x = 47,789,384,528.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.