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Finding the Third Proportional to 17,631,755,172 and 38,362,749,192

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Solution

The third proportional to 17,631,755,172 and 38,362,749,192 is: 83,468,747,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631,755,172 : 38,362,749,192 = 38,362,749,192 : x
  2. Step 2: Convert to fraction form
    17,631,755,172/38,362,749,192 = 38,362,749,192/x
  3. Step 3: Cross multiply
    17,631,755,172x = 38,362,749,192 × 38,362,749,192
  4. Step 4: Simplify right side
    17,631,755,172x = 1,471,700,525,568,296,747,008
  5. Step 5: Solve for x
    x = 1,471,700,525,568,296,747,008/17,631,755,172
  6. Step 6: Final answer
    x = 83,468,747,791.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.