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Finding the Third Proportional to 1,794,340,530,391 and 3,860,825,935,796

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Solution

The third proportional to 1,794,340,530,391 and 3,860,825,935,796 is: 8,307,217,417,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,340,530,391 : 3,860,825,935,796 = 3,860,825,935,796 : x
  2. Step 2: Convert to fraction form
    1,794,340,530,391/3,860,825,935,796 = 3,860,825,935,796/x
  3. Step 3: Cross multiply
    1,794,340,530,391x = 3,860,825,935,796 × 3,860,825,935,796
  4. Step 4: Simplify right side
    1,794,340,530,391x = 14,905,976,906,515,058,293,473,280
  5. Step 5: Solve for x
    x = 14,905,976,906,515,058,293,473,280/1,794,340,530,391
  6. Step 6: Final answer
    x = 8,307,217,417,235.14

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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.