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Finding the Third Proportional to 1,705,469,399,874 and 3,792,257,415,540

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Solution

The third proportional to 1,705,469,399,874 and 3,792,257,415,540 is: 8,432,409,462,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,469,399,874 : 3,792,257,415,540 = 3,792,257,415,540 : x
  2. Step 2: Convert to fraction form
    1,705,469,399,874/3,792,257,415,540 = 3,792,257,415,540/x
  3. Step 3: Cross multiply
    1,705,469,399,874x = 3,792,257,415,540 × 3,792,257,415,540
  4. Step 4: Simplify right side
    1,705,469,399,874x = 14,381,216,305,718,119,890,944,000
  5. Step 5: Solve for x
    x = 14,381,216,305,718,119,890,944,000/1,705,469,399,874
  6. Step 6: Final answer
    x = 8,432,409,462,626.89

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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.