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Finding the Third Proportional to 2,347,516.69 and 4,947,193.13

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Solution

The third proportional to 2,347,516.69 and 4,947,193.13 is: 10,425,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,516.69 : 4,947,193.13 = 4,947,193.13 : x
  2. Step 2: Convert to fraction form
    2,347,516.69/4,947,193.13 = 4,947,193.13/x
  3. Step 3: Cross multiply
    2,347,516.69x = 4,947,193.13 × 4,947,193.13
  4. Step 4: Simplify right side
    2,347,516.69x = 24,474,719,816,047.27
  5. Step 5: Solve for x
    x = 24,474,719,816,047.27/2,347,516.69
  6. Step 6: Final answer
    x = 10,425,791.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.