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Finding the Third Proportional to 300,020,204 and 450,829,110

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Solution

The third proportional to 300,020,204 and 450,829,110 is: 677,443,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,020,204 : 450,829,110 = 450,829,110 : x
  2. Step 2: Convert to fraction form
    300,020,204/450,829,110 = 450,829,110/x
  3. Step 3: Cross multiply
    300,020,204x = 450,829,110 × 450,829,110
  4. Step 4: Simplify right side
    300,020,204x = 203,246,886,423,392,096
  5. Step 5: Solve for x
    x = 203,246,886,423,392,096/300,020,204
  6. Step 6: Final answer
    x = 677,443,997.82

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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.