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Finding the Third Proportional to 7,491,424 and 16,119,814

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Solution

The third proportional to 7,491,424 and 16,119,814 is: 34,686,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491,424 : 16,119,814 = 16,119,814 : x
  2. Step 2: Convert to fraction form
    7,491,424/16,119,814 = 16,119,814/x
  3. Step 3: Cross multiply
    7,491,424x = 16,119,814 × 16,119,814
  4. Step 4: Simplify right side
    7,491,424x = 259,848,403,394,596
  5. Step 5: Solve for x
    x = 259,848,403,394,596/7,491,424
  6. Step 6: Final answer
    x = 34,686,116.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.