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Finding the Third Proportional to 1,705,469,399,880 and 3,792,257,415,552

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Solution

The third proportional to 1,705,469,399,880 and 3,792,257,415,552 is: 8,432,409,462,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,469,399,880 : 3,792,257,415,552 = 3,792,257,415,552 : x
  2. Step 2: Convert to fraction form
    1,705,469,399,880/3,792,257,415,552 = 3,792,257,415,552/x
  3. Step 3: Cross multiply
    1,705,469,399,880x = 3,792,257,415,552 × 3,792,257,415,552
  4. Step 4: Simplify right side
    1,705,469,399,880x = 14,381,216,305,809,134,542,913,536
  5. Step 5: Solve for x
    x = 14,381,216,305,809,134,542,913,536/1,705,469,399,880
  6. Step 6: Final answer
    x = 8,432,409,462,650.59

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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.