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Finding the Third Proportional to 16,897,186.50 and 34,690,132.50

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Solution

The third proportional to 16,897,186.50 and 34,690,132.50 is: 71,219,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897,186.50 : 34,690,132.50 = 34,690,132.50 : x
  2. Step 2: Convert to fraction form
    16,897,186.50/34,690,132.50 = 34,690,132.50/x
  3. Step 3: Cross multiply
    16,897,186.50x = 34,690,132.50 × 34,690,132.50
  4. Step 4: Simplify right side
    16,897,186.50x = 1,203,405,292,867,556.25
  5. Step 5: Solve for x
    x = 1,203,405,292,867,556.25/16,897,186.50
  6. Step 6: Final answer
    x = 71,219,270.31

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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.