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Finding the Third Proportional to 11,854,696,932 and 25,775,557,742.25

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Solution

The third proportional to 11,854,696,932 and 25,775,557,742.25 is: 56,043,556,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854,696,932 : 25,775,557,742.25 = 25,775,557,742.25 : x
  2. Step 2: Convert to fraction form
    11,854,696,932/25,775,557,742.25 = 25,775,557,742.25/x
  3. Step 3: Cross multiply
    11,854,696,932x = 25,775,557,742.25 × 25,775,557,742.25
  4. Step 4: Simplify right side
    11,854,696,932x = 664,379,376,924,063,956,992
  5. Step 5: Solve for x
    x = 664,379,376,924,063,956,992/11,854,696,932
  6. Step 6: Final answer
    x = 56,043,556,468.38

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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.