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Finding the Third Proportional to 3,912,907.50 and 8,363,133.56

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Solution

The third proportional to 3,912,907.50 and 8,363,133.56 is: 17,874,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912,907.50 : 8,363,133.56 = 8,363,133.56 : x
  2. Step 2: Convert to fraction form
    3,912,907.50/8,363,133.56 = 8,363,133.56/x
  3. Step 3: Cross multiply
    3,912,907.50x = 8,363,133.56 × 8,363,133.56
  4. Step 4: Simplify right side
    3,912,907.50x = 69,942,002,984,213.94
  5. Step 5: Solve for x
    x = 69,942,002,984,213.94/3,912,907.50
  6. Step 6: Final answer
    x = 17,874,688.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.