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Finding the Third Proportional to 33,678,898 and 46,923,186

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Solution

The third proportional to 33,678,898 and 46,923,186 is: 65,375,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678,898 : 46,923,186 = 46,923,186 : x
  2. Step 2: Convert to fraction form
    33,678,898/46,923,186 = 46,923,186/x
  3. Step 3: Cross multiply
    33,678,898x = 46,923,186 × 46,923,186
  4. Step 4: Simplify right side
    33,678,898x = 2,201,785,384,390,596
  5. Step 5: Solve for x
    x = 2,201,785,384,390,596/33,678,898
  6. Step 6: Final answer
    x = 65,375,814.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.