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Finding the Third Proportional to 300,018,282 and 450,826,218

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Solution

The third proportional to 300,018,282 and 450,826,218 is: 677,439,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018,282 : 450,826,218 = 450,826,218 : x
  2. Step 2: Convert to fraction form
    300,018,282/450,826,218 = 450,826,218/x
  3. Step 3: Cross multiply
    300,018,282x = 450,826,218 × 450,826,218
  4. Step 4: Simplify right side
    300,018,282x = 203,244,278,836,183,520
  5. Step 5: Solve for x
    x = 203,244,278,836,183,520/300,018,282
  6. Step 6: Final answer
    x = 677,439,646.28

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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.