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Finding the Third Proportional to 5,117,245,794 and 7,738,854,291

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Solution

The third proportional to 5,117,245,794 and 7,738,854,291 is: 11,703,535,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117,245,794 : 7,738,854,291 = 7,738,854,291 : x
  2. Step 2: Convert to fraction form
    5,117,245,794/7,738,854,291 = 7,738,854,291/x
  3. Step 3: Cross multiply
    5,117,245,794x = 7,738,854,291 × 7,738,854,291
  4. Step 4: Simplify right side
    5,117,245,794x = 59,889,865,737,329,115,136
  5. Step 5: Solve for x
    x = 59,889,865,737,329,115,136/5,117,245,794
  6. Step 6: Final answer
    x = 11,703,535,094.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.