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Finding the Third Proportional to 1,533,324,530 and 2,503,515,819

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Solution

The third proportional to 1,533,324,530 and 2,503,515,819 is: 4,087,583,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,324,530 : 2,503,515,819 = 2,503,515,819 : x
  2. Step 2: Convert to fraction form
    1,533,324,530/2,503,515,819 = 2,503,515,819/x
  3. Step 3: Cross multiply
    1,533,324,530x = 2,503,515,819 × 2,503,515,819
  4. Step 4: Simplify right side
    1,533,324,530x = 6,267,591,455,983,241,216
  5. Step 5: Solve for x
    x = 6,267,591,455,983,241,216/1,533,324,530
  6. Step 6: Final answer
    x = 4,087,583,113.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.