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Finding the Third Proportional to 6,489,424 and 15,022,544

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Solution

The third proportional to 6,489,424 and 15,022,544 is: 34,776,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,424 : 15,022,544 = 15,022,544 : x
  2. Step 2: Convert to fraction form
    6,489,424/15,022,544 = 15,022,544/x
  3. Step 3: Cross multiply
    6,489,424x = 15,022,544 × 15,022,544
  4. Step 4: Simplify right side
    6,489,424x = 225,676,828,231,936
  5. Step 5: Solve for x
    x = 225,676,828,231,936/6,489,424
  6. Step 6: Final answer
    x = 34,776,095.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.