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Finding the Third Proportional to 16,897,189 and 34,690,137

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Solution

The third proportional to 16,897,189 and 34,690,137 is: 71,219,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897,189 : 34,690,137 = 34,690,137 : x
  2. Step 2: Convert to fraction form
    16,897,189/34,690,137 = 34,690,137/x
  3. Step 3: Cross multiply
    16,897,189x = 34,690,137 × 34,690,137
  4. Step 4: Simplify right side
    16,897,189x = 1,203,405,605,078,769
  5. Step 5: Solve for x
    x = 1,203,405,605,078,769/16,897,189
  6. Step 6: Final answer
    x = 71,219,278.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.