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Finding the Third Proportional to 11,854,696,934 and 25,775,557,747

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Solution

The third proportional to 11,854,696,934 and 25,775,557,747 is: 56,043,556,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854,696,934 : 25,775,557,747 = 25,775,557,747 : x
  2. Step 2: Convert to fraction form
    11,854,696,934/25,775,557,747 = 25,775,557,747/x
  3. Step 3: Cross multiply
    11,854,696,934x = 25,775,557,747 × 25,775,557,747
  4. Step 4: Simplify right side
    11,854,696,934x = 664,379,377,168,931,749,888
  5. Step 5: Solve for x
    x = 664,379,377,168,931,749,888/11,854,696,934
  6. Step 6: Final answer
    x = 56,043,556,479.58

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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.