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Finding the Third Proportional to 307,282,669 and 675,856,471

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Solution

The third proportional to 307,282,669 and 675,856,471 is: 1,486,520,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,282,669 : 675,856,471 = 675,856,471 : x
  2. Step 2: Convert to fraction form
    307,282,669/675,856,471 = 675,856,471/x
  3. Step 3: Cross multiply
    307,282,669x = 675,856,471 × 675,856,471
  4. Step 4: Simplify right side
    307,282,669x = 456,781,969,392,573,824
  5. Step 5: Solve for x
    x = 456,781,969,392,573,824/307,282,669
  6. Step 6: Final answer
    x = 1,486,520,443.47

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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.