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Finding the Third Proportional to 1,705,469,399,858 and 3,792,257,416,048

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Solution

The third proportional to 1,705,469,399,858 and 3,792,257,416,048 is: 8,432,409,464,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,469,399,858 : 3,792,257,416,048 = 3,792,257,416,048 : x
  2. Step 2: Convert to fraction form
    1,705,469,399,858/3,792,257,416,048 = 3,792,257,416,048/x
  3. Step 3: Cross multiply
    1,705,469,399,858x = 3,792,257,416,048 × 3,792,257,416,048
  4. Step 4: Simplify right side
    1,705,469,399,858x = 14,381,216,309,571,053,447,806,976
  5. Step 5: Solve for x
    x = 14,381,216,309,571,053,447,806,976/1,705,469,399,858
  6. Step 6: Final answer
    x = 8,432,409,464,965.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.