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Finding the Third Proportional to 2,466,399.38 and 5,380,986.94

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Solution

The third proportional to 2,466,399.38 and 5,380,986.94 is: 11,739,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,399.38 : 5,380,986.94 = 5,380,986.94 : x
  2. Step 2: Convert to fraction form
    2,466,399.38/5,380,986.94 = 5,380,986.94/x
  3. Step 3: Cross multiply
    2,466,399.38x = 5,380,986.94 × 5,380,986.94
  4. Step 4: Simplify right side
    2,466,399.38x = 28,955,020,421,545.63
  5. Step 5: Solve for x
    x = 28,955,020,421,545.63/2,466,399.38
  6. Step 6: Final answer
    x = 11,739,793.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.