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Finding the Third Proportional to 13,433,890.50 and 20,129,709.94

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Solution

The third proportional to 13,433,890.50 and 20,129,709.94 is: 30,162,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433,890.50 : 20,129,709.94 = 20,129,709.94 : x
  2. Step 2: Convert to fraction form
    13,433,890.50/20,129,709.94 = 20,129,709.94/x
  3. Step 3: Cross multiply
    13,433,890.50x = 20,129,709.94 × 20,129,709.94
  4. Step 4: Simplify right side
    13,433,890.50x = 405,205,222,167,886.25
  5. Step 5: Solve for x
    x = 405,205,222,167,886.25/13,433,890.50
  6. Step 6: Final answer
    x = 30,162,909.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.