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Finding the Third Proportional to 2,567,743.50 and 5,421,921

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Solution

The third proportional to 2,567,743.50 and 5,421,921 is: 11,448,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,743.50 : 5,421,921 = 5,421,921 : x
  2. Step 2: Convert to fraction form
    2,567,743.50/5,421,921 = 5,421,921/x
  3. Step 3: Cross multiply
    2,567,743.50x = 5,421,921 × 5,421,921
  4. Step 4: Simplify right side
    2,567,743.50x = 29,397,227,330,241
  5. Step 5: Solve for x
    x = 29,397,227,330,241/2,567,743.50
  6. Step 6: Final answer
    x = 11,448,661.96

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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.