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Finding the Third Proportional to 7,612,272 and 16,412,864

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Solution

The third proportional to 7,612,272 and 16,412,864 is: 35,387,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,272 : 16,412,864 = 16,412,864 : x
  2. Step 2: Convert to fraction form
    7,612,272/16,412,864 = 16,412,864/x
  3. Step 3: Cross multiply
    7,612,272x = 16,412,864 × 16,412,864
  4. Step 4: Simplify right side
    7,612,272x = 269,382,104,682,496
  5. Step 5: Solve for x
    x = 269,382,104,682,496/7,612,272
  6. Step 6: Final answer
    x = 35,387,871.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.