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Finding the Third Proportional to 3,883,324,864 and 8,558,195,012

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Solution

The third proportional to 3,883,324,864 and 8,558,195,012 is: 18,860,822,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883,324,864 : 8,558,195,012 = 8,558,195,012 : x
  2. Step 2: Convert to fraction form
    3,883,324,864/8,558,195,012 = 8,558,195,012/x
  3. Step 3: Cross multiply
    3,883,324,864x = 8,558,195,012 × 8,558,195,012
  4. Step 4: Simplify right side
    3,883,324,864x = 73,242,701,863,421,681,664
  5. Step 5: Solve for x
    x = 73,242,701,863,421,681,664/3,883,324,864
  6. Step 6: Final answer
    x = 18,860,822,730.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.