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Finding the Third Proportional to 10,817,906,966 and 23,498,055,717

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Solution

The third proportional to 10,817,906,966 and 23,498,055,717 is: 51,041,169,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817,906,966 : 23,498,055,717 = 23,498,055,717 : x
  2. Step 2: Convert to fraction form
    10,817,906,966/23,498,055,717 = 23,498,055,717/x
  3. Step 3: Cross multiply
    10,817,906,966x = 23,498,055,717 × 23,498,055,717
  4. Step 4: Simplify right side
    10,817,906,966x = 552,158,622,479,236,399,104
  5. Step 5: Solve for x
    x = 552,158,622,479,236,399,104/10,817,906,966
  6. Step 6: Final answer
    x = 51,041,169,443.83

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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.