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Finding the Third Proportional to 5,921,677.50 and 12,724,494

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Solution

The third proportional to 5,921,677.50 and 12,724,494 is: 27,342,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,677.50 : 12,724,494 = 12,724,494 : x
  2. Step 2: Convert to fraction form
    5,921,677.50/12,724,494 = 12,724,494/x
  3. Step 3: Cross multiply
    5,921,677.50x = 12,724,494 × 12,724,494
  4. Step 4: Simplify right side
    5,921,677.50x = 161,912,747,556,036
  5. Step 5: Solve for x
    x = 161,912,747,556,036/5,921,677.50
  6. Step 6: Final answer
    x = 27,342,378.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.