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Finding the Third Proportional to 10,110,910,029 and 21,981,677,993

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Solution

The third proportional to 10,110,910,029 and 21,981,677,993 is: 47,789,384,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110,910,029 : 21,981,677,993 = 21,981,677,993 : x
  2. Step 2: Convert to fraction form
    10,110,910,029/21,981,677,993 = 21,981,677,993/x
  3. Step 3: Cross multiply
    10,110,910,029x = 21,981,677,993 × 21,981,677,993
  4. Step 4: Simplify right side
    10,110,910,029x = 483,194,167,387,940,519,936
  5. Step 5: Solve for x
    x = 483,194,167,387,940,519,936/10,110,910,029
  6. Step 6: Final answer
    x = 47,789,384,536.31

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