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Finding the Third Proportional to 300,018,694.50 and 450,826,791.19

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Solution

The third proportional to 300,018,694.50 and 450,826,791.19 is: 677,440,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018,694.50 : 450,826,791.19 = 450,826,791.19 : x
  2. Step 2: Convert to fraction form
    300,018,694.50/450,826,791.19 = 450,826,791.19/x
  3. Step 3: Cross multiply
    300,018,694.50x = 450,826,791.19 × 450,826,791.19
  4. Step 4: Simplify right side
    300,018,694.50x = 203,244,795,652,417,728
  5. Step 5: Solve for x
    x = 203,244,795,652,417,728/300,018,694.50
  6. Step 6: Final answer
    x = 677,440,437.47

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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.