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Finding the Third Proportional to 8,003,760 and 17,525,424

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Solution

The third proportional to 8,003,760 and 17,525,424 is: 38,374,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003,760 : 17,525,424 = 17,525,424 : x
  2. Step 2: Convert to fraction form
    8,003,760/17,525,424 = 17,525,424/x
  3. Step 3: Cross multiply
    8,003,760x = 17,525,424 × 17,525,424
  4. Step 4: Simplify right side
    8,003,760x = 307,140,486,379,776
  5. Step 5: Solve for x
    x = 307,140,486,379,776/8,003,760
  6. Step 6: Final answer
    x = 38,374,524.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.