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Finding the Third Proportional to 30,898,651.50 and 67,106,529

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Solution

The third proportional to 30,898,651.50 and 67,106,529 is: 145,743,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898,651.50 : 67,106,529 = 67,106,529 : x
  2. Step 2: Convert to fraction form
    30,898,651.50/67,106,529 = 67,106,529/x
  3. Step 3: Cross multiply
    30,898,651.50x = 67,106,529 × 67,106,529
  4. Step 4: Simplify right side
    30,898,651.50x = 4,503,286,234,427,841
  5. Step 5: Solve for x
    x = 4,503,286,234,427,841/30,898,651.50
  6. Step 6: Final answer
    x = 145,743,778.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.