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Finding the Third Proportional to 11,132,296,560 and 23,858,147,754

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Solution

The third proportional to 11,132,296,560 and 23,858,147,754 is: 51,131,517,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132,296,560 : 23,858,147,754 = 23,858,147,754 : x
  2. Step 2: Convert to fraction form
    11,132,296,560/23,858,147,754 = 23,858,147,754/x
  3. Step 3: Cross multiply
    11,132,296,560x = 23,858,147,754 × 23,858,147,754
  4. Step 4: Simplify right side
    11,132,296,560x = 569,211,214,251,695,276,032
  5. Step 5: Solve for x
    x = 569,211,214,251,695,276,032/11,132,296,560
  6. Step 6: Final answer
    x = 51,131,517,309.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.