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Finding the Third Proportional to 1,794,340,530,389 and 3,860,825,935,792

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Solution

The third proportional to 1,794,340,530,389 and 3,860,825,935,792 is: 8,307,217,417,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,340,530,389 : 3,860,825,935,792 = 3,860,825,935,792 : x
  2. Step 2: Convert to fraction form
    1,794,340,530,389/3,860,825,935,792 = 3,860,825,935,792/x
  3. Step 3: Cross multiply
    1,794,340,530,389x = 3,860,825,935,792 × 3,860,825,935,792
  4. Step 4: Simplify right side
    1,794,340,530,389x = 14,905,976,906,484,173,183,647,744
  5. Step 5: Solve for x
    x = 14,905,976,906,484,173,183,647,744/1,794,340,530,389
  6. Step 6: Final answer
    x = 8,307,217,417,227.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.