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Finding the Third Proportional to 11,854,696,933 and 25,775,557,743

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Solution

The third proportional to 11,854,696,933 and 25,775,557,743 is: 56,043,556,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854,696,933 : 25,775,557,743 = 25,775,557,743 : x
  2. Step 2: Convert to fraction form
    11,854,696,933/25,775,557,743 = 25,775,557,743/x
  3. Step 3: Cross multiply
    11,854,696,933x = 25,775,557,743 × 25,775,557,743
  4. Step 4: Simplify right side
    11,854,696,933x = 664,379,376,962,727,313,408
  5. Step 5: Solve for x
    x = 664,379,376,962,727,313,408/11,854,696,933
  6. Step 6: Final answer
    x = 56,043,556,466.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.