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Finding the Third Proportional to 5,890,819.50 and 12,711,114

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Solution

The third proportional to 5,890,819.50 and 12,711,114 is: 27,427,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890,819.50 : 12,711,114 = 12,711,114 : x
  2. Step 2: Convert to fraction form
    5,890,819.50/12,711,114 = 12,711,114/x
  3. Step 3: Cross multiply
    5,890,819.50x = 12,711,114 × 12,711,114
  4. Step 4: Simplify right side
    5,890,819.50x = 161,572,419,120,996
  5. Step 5: Solve for x
    x = 161,572,419,120,996/5,890,819.50
  6. Step 6: Final answer
    x = 27,427,833.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.