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Finding the Third Proportional to 2,544,076.69 and 5,536,658.81

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Solution

The third proportional to 2,544,076.69 and 5,536,658.81 is: 12,049,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544,076.69 : 5,536,658.81 = 5,536,658.81 : x
  2. Step 2: Convert to fraction form
    2,544,076.69/5,536,658.81 = 5,536,658.81/x
  3. Step 3: Cross multiply
    2,544,076.69x = 5,536,658.81 × 5,536,658.81
  4. Step 4: Simplify right side
    2,544,076.69x = 30,654,590,806,033.91
  5. Step 5: Solve for x
    x = 30,654,590,806,033.91/2,544,076.69
  6. Step 6: Final answer
    x = 12,049,397.31

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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.