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Finding the Third Proportional to 31,428,948 and 48,489,186

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Solution

The third proportional to 31,428,948 and 48,489,186 is: 74,810,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428,948 : 48,489,186 = 48,489,186 : x
  2. Step 2: Convert to fraction form
    31,428,948/48,489,186 = 48,489,186/x
  3. Step 3: Cross multiply
    31,428,948x = 48,489,186 × 48,489,186
  4. Step 4: Simplify right side
    31,428,948x = 2,351,201,158,942,596
  5. Step 5: Solve for x
    x = 2,351,201,158,942,596/31,428,948
  6. Step 6: Final answer
    x = 74,810,049.61

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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.