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Finding the Third Proportional to 12,283,534,524 and 26,524,344,696

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Solution

The third proportional to 12,283,534,524 and 26,524,344,696 is: 57,275,115,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283,534,524 : 26,524,344,696 = 26,524,344,696 : x
  2. Step 2: Convert to fraction form
    12,283,534,524/26,524,344,696 = 26,524,344,696/x
  3. Step 3: Cross multiply
    12,283,534,524x = 26,524,344,696 × 26,524,344,696
  4. Step 4: Simplify right side
    12,283,534,524x = 703,540,861,552,223,322,112
  5. Step 5: Solve for x
    x = 703,540,861,552,223,322,112/12,283,534,524
  6. Step 6: Final answer
    x = 57,275,115,739.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.