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Finding the Third Proportional to 2,960,206.50 and 6,474,021

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Solution

The third proportional to 2,960,206.50 and 6,474,021 is: 14,158,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,206.50 : 6,474,021 = 6,474,021 : x
  2. Step 2: Convert to fraction form
    2,960,206.50/6,474,021 = 6,474,021/x
  3. Step 3: Cross multiply
    2,960,206.50x = 6,474,021 × 6,474,021
  4. Step 4: Simplify right side
    2,960,206.50x = 41,912,947,908,441
  5. Step 5: Solve for x
    x = 41,912,947,908,441/2,960,206.50
  6. Step 6: Final answer
    x = 14,158,791.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.