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Finding the Third Proportional to 5,434,265 and 11,516,449

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Solution

The third proportional to 5,434,265 and 11,516,449 is: 24,405,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434,265 : 11,516,449 = 11,516,449 : x
  2. Step 2: Convert to fraction form
    5,434,265/11,516,449 = 11,516,449/x
  3. Step 3: Cross multiply
    5,434,265x = 11,516,449 × 11,516,449
  4. Step 4: Simplify right side
    5,434,265x = 132,628,597,569,601
  5. Step 5: Solve for x
    x = 132,628,597,569,601/5,434,265
  6. Step 6: Final answer
    x = 24,405,986.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.