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Finding the Third Proportional to 307,282,675 and 675,856,480

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Solution

The third proportional to 307,282,675 and 675,856,480 is: 1,486,520,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,282,675 : 675,856,480 = 675,856,480 : x
  2. Step 2: Convert to fraction form
    307,282,675/675,856,480 = 675,856,480/x
  3. Step 3: Cross multiply
    307,282,675x = 675,856,480 × 675,856,480
  4. Step 4: Simplify right side
    307,282,675x = 456,781,981,557,990,400
  5. Step 5: Solve for x
    x = 456,781,981,557,990,400/307,282,675
  6. Step 6: Final answer
    x = 1,486,520,454.03

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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.