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Finding the Third Proportional to 23,914,158,417 and 51,377,254,917

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Solution

The third proportional to 23,914,158,417 and 51,377,254,917 is: 110,379,059,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,914,158,417 : 51,377,254,917 = 51,377,254,917 : x
  2. Step 2: Convert to fraction form
    23,914,158,417/51,377,254,917 = 51,377,254,917/x
  3. Step 3: Cross multiply
    23,914,158,417x = 51,377,254,917 × 51,377,254,917
  4. Step 4: Simplify right side
    23,914,158,417x = 2,639,622,322,806,400,745,472
  5. Step 5: Solve for x
    x = 2,639,622,322,806,400,745,472/23,914,158,417
  6. Step 6: Final answer
    x = 110,379,059,834.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.