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Finding the Third Proportional to 17,538,763,766 and 36,007,310,660

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Solution

The third proportional to 17,538,763,766 and 36,007,310,660 is: 73,923,478,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538,763,766 : 36,007,310,660 = 36,007,310,660 : x
  2. Step 2: Convert to fraction form
    17,538,763,766/36,007,310,660 = 36,007,310,660/x
  3. Step 3: Cross multiply
    17,538,763,766x = 36,007,310,660 × 36,007,310,660
  4. Step 4: Simplify right side
    17,538,763,766x = 1,296,526,420,965,749,686,272
  5. Step 5: Solve for x
    x = 1,296,526,420,965,749,686,272/17,538,763,766
  6. Step 6: Final answer
    x = 73,923,478,203.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.