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Finding the Third Proportional to 16,897,163.25 and 34,690,096.50

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Solution

The third proportional to 16,897,163.25 and 34,690,096.50 is: 71,219,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897,163.25 : 34,690,096.50 = 34,690,096.50 : x
  2. Step 2: Convert to fraction form
    16,897,163.25/34,690,096.50 = 34,690,096.50/x
  3. Step 3: Cross multiply
    16,897,163.25x = 34,690,096.50 × 34,690,096.50
  4. Step 4: Simplify right side
    16,897,163.25x = 1,203,402,795,179,312.25
  5. Step 5: Solve for x
    x = 1,203,402,795,179,312.25/16,897,163.25
  6. Step 6: Final answer
    x = 71,219,220.49

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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.