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Finding the Third Proportional to 9,847,016 and 20,476,816

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Solution

The third proportional to 9,847,016 and 20,476,816 is: 42,581,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847,016 : 20,476,816 = 20,476,816 : x
  2. Step 2: Convert to fraction form
    9,847,016/20,476,816 = 20,476,816/x
  3. Step 3: Cross multiply
    9,847,016x = 20,476,816 × 20,476,816
  4. Step 4: Simplify right side
    9,847,016x = 419,299,993,497,856
  5. Step 5: Solve for x
    x = 419,299,993,497,856/9,847,016
  6. Step 6: Final answer
    x = 42,581,427.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.