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Finding the Third Proportional to 5,874,552,190 and 12,679,420,150

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Solution

The third proportional to 5,874,552,190 and 12,679,420,150 is: 27,366,800,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874,552,190 : 12,679,420,150 = 12,679,420,150 : x
  2. Step 2: Convert to fraction form
    5,874,552,190/12,679,420,150 = 12,679,420,150/x
  3. Step 3: Cross multiply
    5,874,552,190x = 12,679,420,150 × 12,679,420,150
  4. Step 4: Simplify right side
    5,874,552,190x = 160,767,695,340,226,019,328
  5. Step 5: Solve for x
    x = 160,767,695,340,226,019,328/5,874,552,190
  6. Step 6: Final answer
    x = 27,366,800,079.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.