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Finding the Third Proportional to 49,567,689 and 107,370,162

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Solution

The third proportional to 49,567,689 and 107,370,162 is: 232,577,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567,689 : 107,370,162 = 107,370,162 : x
  2. Step 2: Convert to fraction form
    49,567,689/107,370,162 = 107,370,162/x
  3. Step 3: Cross multiply
    49,567,689x = 107,370,162 × 107,370,162
  4. Step 4: Simplify right side
    49,567,689x = 11,528,351,687,906,244
  5. Step 5: Solve for x
    x = 11,528,351,687,906,244/49,567,689
  6. Step 6: Final answer
    x = 232,577,953.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.