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Finding the Third Proportional to 3,968,768 and 8,414,424

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Solution

The third proportional to 3,968,768 and 8,414,424 is: 17,839,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968,768 : 8,414,424 = 8,414,424 : x
  2. Step 2: Convert to fraction form
    3,968,768/8,414,424 = 8,414,424/x
  3. Step 3: Cross multiply
    3,968,768x = 8,414,424 × 8,414,424
  4. Step 4: Simplify right side
    3,968,768x = 70,802,531,251,776
  5. Step 5: Solve for x
    x = 70,802,531,251,776/3,968,768
  6. Step 6: Final answer
    x = 17,839,926.96

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