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Finding the Third Proportional to 7,900,022 and 16,919,797

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Solution

The third proportional to 7,900,022 and 16,919,797 is: 36,237,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900,022 : 16,919,797 = 16,919,797 : x
  2. Step 2: Convert to fraction form
    7,900,022/16,919,797 = 16,919,797/x
  3. Step 3: Cross multiply
    7,900,022x = 16,919,797 × 16,919,797
  4. Step 4: Simplify right side
    7,900,022x = 286,279,530,521,209
  5. Step 5: Solve for x
    x = 286,279,530,521,209/7,900,022
  6. Step 6: Final answer
    x = 36,237,814.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.