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Finding the Third Proportional to 3,435,617,890,408.50 and 7,474,427,735,755.20

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Solution

The third proportional to 3,435,617,890,408.50 and 7,474,427,735,755.20 is: 16,261,141,884,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435,617,890,408.50 : 7,474,427,735,755.20 = 7,474,427,735,755.20 : x
  2. Step 2: Convert to fraction form
    3,435,617,890,408.50/7,474,427,735,755.20 = 7,474,427,735,755.20/x
  3. Step 3: Cross multiply
    3,435,617,890,408.50x = 7,474,427,735,755.20 × 7,474,427,735,755.20
  4. Step 4: Simplify right side
    3,435,617,890,408.50x = 55,867,069,977,026,605,067,796,480
  5. Step 5: Solve for x
    x = 55,867,069,977,026,605,067,796,480/3,435,617,890,408.50
  6. Step 6: Final answer
    x = 16,261,141,884,548.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.