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Finding the Third Proportional to 8,468,661 and 18,029,742

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Solution

The third proportional to 8,468,661 and 18,029,742 is: 38,385,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468,661 : 18,029,742 = 18,029,742 : x
  2. Step 2: Convert to fraction form
    8,468,661/18,029,742 = 18,029,742/x
  3. Step 3: Cross multiply
    8,468,661x = 18,029,742 × 18,029,742
  4. Step 4: Simplify right side
    8,468,661x = 325,071,596,586,564
  5. Step 5: Solve for x
    x = 325,071,596,586,564/8,468,661
  6. Step 6: Final answer
    x = 38,385,241.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.