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Finding the Third Proportional to 307,282,680 and 675,856,494

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Solution

The third proportional to 307,282,680 and 675,856,494 is: 1,486,520,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,282,680 : 675,856,494 = 675,856,494 : x
  2. Step 2: Convert to fraction form
    307,282,680/675,856,494 = 675,856,494/x
  3. Step 3: Cross multiply
    307,282,680x = 675,856,494 × 675,856,494
  4. Step 4: Simplify right side
    307,282,680x = 456,782,000,481,972,032
  5. Step 5: Solve for x
    x = 456,782,000,481,972,032/307,282,680
  6. Step 6: Final answer
    x = 1,486,520,491.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.