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Finding the Third Proportional to 7,678,934 and 16,420,744

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Solution

The third proportional to 7,678,934 and 16,420,744 is: 35,114,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,934 : 16,420,744 = 16,420,744 : x
  2. Step 2: Convert to fraction form
    7,678,934/16,420,744 = 16,420,744/x
  3. Step 3: Cross multiply
    7,678,934x = 16,420,744 × 16,420,744
  4. Step 4: Simplify right side
    7,678,934x = 269,640,833,513,536
  5. Step 5: Solve for x
    x = 269,640,833,513,536/7,678,934
  6. Step 6: Final answer
    x = 35,114,357.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.