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Finding the Third Proportional to 8,032,189.50 and 12,236,535

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Solution

The third proportional to 8,032,189.50 and 12,236,535 is: 18,641,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,189.50 : 12,236,535 = 12,236,535 : x
  2. Step 2: Convert to fraction form
    8,032,189.50/12,236,535 = 12,236,535/x
  3. Step 3: Cross multiply
    8,032,189.50x = 12,236,535 × 12,236,535
  4. Step 4: Simplify right side
    8,032,189.50x = 149,732,788,806,225
  5. Step 5: Solve for x
    x = 149,732,788,806,225/8,032,189.50
  6. Step 6: Final answer
    x = 18,641,590.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.