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Finding the Third Proportional to 2,023,347,821 and 3,035,021,529

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Solution

The third proportional to 2,023,347,821 and 3,035,021,529 is: 4,552,531,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,347,821 : 3,035,021,529 = 3,035,021,529 : x
  2. Step 2: Convert to fraction form
    2,023,347,821/3,035,021,529 = 3,035,021,529/x
  3. Step 3: Cross multiply
    2,023,347,821x = 3,035,021,529 × 3,035,021,529
  4. Step 4: Simplify right side
    2,023,347,821x = 9,211,355,681,493,497,856
  5. Step 5: Solve for x
    x = 9,211,355,681,493,497,856/2,023,347,821
  6. Step 6: Final answer
    x = 4,552,531,989.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.