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Finding the Third Proportional to 1,794,340,530,830.20 and 3,860,825,936,763.50

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Solution

The third proportional to 1,794,340,530,830.20 and 3,860,825,936,763.50 is: 8,307,217,419,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,340,530,830.20 : 3,860,825,936,763.50 = 3,860,825,936,763.50 : x
  2. Step 2: Convert to fraction form
    1,794,340,530,830.20/3,860,825,936,763.50 = 3,860,825,936,763.50/x
  3. Step 3: Cross multiply
    1,794,340,530,830.20x = 3,860,825,936,763.50 × 3,860,825,936,763.50
  4. Step 4: Simplify right side
    1,794,340,530,830.20x = 14,905,976,913,985,756,620,390,400
  5. Step 5: Solve for x
    x = 14,905,976,913,985,756,620,390,400/1,794,340,530,830.20
  6. Step 6: Final answer
    x = 8,307,217,419,365.27

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