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Finding the Third Proportional to 31,468,500 and 48,600,243

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Solution

The third proportional to 31,468,500 and 48,600,243 is: 75,058,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468,500 : 48,600,243 = 48,600,243 : x
  2. Step 2: Convert to fraction form
    31,468,500/48,600,243 = 48,600,243/x
  3. Step 3: Cross multiply
    31,468,500x = 48,600,243 × 48,600,243
  4. Step 4: Simplify right side
    31,468,500x = 2,361,983,619,659,049
  5. Step 5: Solve for x
    x = 2,361,983,619,659,049/31,468,500
  6. Step 6: Final answer
    x = 75,058,665.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.