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Finding the Third Proportional to 3,435,617,890,401 and 7,474,427,735,736

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Solution

The third proportional to 3,435,617,890,401 and 7,474,427,735,736 is: 16,261,141,884,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435,617,890,401 : 7,474,427,735,736 = 7,474,427,735,736 : x
  2. Step 2: Convert to fraction form
    3,435,617,890,401/7,474,427,735,736 = 7,474,427,735,736/x
  3. Step 3: Cross multiply
    3,435,617,890,401x = 7,474,427,735,736 × 7,474,427,735,736
  4. Step 4: Simplify right side
    3,435,617,890,401x = 55,867,069,976,739,589,583,273,984
  5. Step 5: Solve for x
    x = 55,867,069,976,739,589,583,273,984/3,435,617,890,401
  6. Step 6: Final answer
    x = 16,261,141,884,500.69

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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.