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Finding the Third Proportional to 275,819,562 and 411,337,458

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Solution

The third proportional to 275,819,562 and 411,337,458 is: 613,439,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,819,562 : 411,337,458 = 411,337,458 : x
  2. Step 2: Convert to fraction form
    275,819,562/411,337,458 = 411,337,458/x
  3. Step 3: Cross multiply
    275,819,562x = 411,337,458 × 411,337,458
  4. Step 4: Simplify right side
    275,819,562x = 169,198,504,353,901,760
  5. Step 5: Solve for x
    x = 169,198,504,353,901,760/275,819,562
  6. Step 6: Final answer
    x = 613,439,101.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.