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Finding the Third Proportional to 7,504,711 and 17,698,193

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Solution

The third proportional to 7,504,711 and 17,698,193 is: 41,737,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504,711 : 17,698,193 = 17,698,193 : x
  2. Step 2: Convert to fraction form
    7,504,711/17,698,193 = 17,698,193/x
  3. Step 3: Cross multiply
    7,504,711x = 17,698,193 × 17,698,193
  4. Step 4: Simplify right side
    7,504,711x = 313,226,035,465,249
  5. Step 5: Solve for x
    x = 313,226,035,465,249/7,504,711
  6. Step 6: Final answer
    x = 41,737,254.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.