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Finding the Third Proportional to 3,668,817 and 7,781,595

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Solution

The third proportional to 3,668,817 and 7,781,595 is: 16,504,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,817 : 7,781,595 = 7,781,595 : x
  2. Step 2: Convert to fraction form
    3,668,817/7,781,595 = 7,781,595/x
  3. Step 3: Cross multiply
    3,668,817x = 7,781,595 × 7,781,595
  4. Step 4: Simplify right side
    3,668,817x = 60,553,220,744,025
  5. Step 5: Solve for x
    x = 60,553,220,744,025/3,668,817
  6. Step 6: Final answer
    x = 16,504,835.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.