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Finding the Third Proportional to 5,775,792,941 and 12,658,843,206

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Solution

The third proportional to 5,775,792,941 and 12,658,843,206 is: 27,744,469,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775,792,941 : 12,658,843,206 = 12,658,843,206 : x
  2. Step 2: Convert to fraction form
    5,775,792,941/12,658,843,206 = 12,658,843,206/x
  3. Step 3: Cross multiply
    5,775,792,941x = 12,658,843,206 × 12,658,843,206
  4. Step 4: Simplify right side
    5,775,792,941x = 160,246,311,314,092,359,680
  5. Step 5: Solve for x
    x = 160,246,311,314,092,359,680/5,775,792,941
  6. Step 6: Final answer
    x = 27,744,469,538.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.