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Finding the Third Proportional to 3,877,533 and 5,433,643.50

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Solution

The third proportional to 3,877,533 and 5,433,643.50 is: 7,614,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877,533 : 5,433,643.50 = 5,433,643.50 : x
  2. Step 2: Convert to fraction form
    3,877,533/5,433,643.50 = 5,433,643.50/x
  3. Step 3: Cross multiply
    3,877,533x = 5,433,643.50 × 5,433,643.50
  4. Step 4: Simplify right side
    3,877,533x = 29,524,481,685,092.25
  5. Step 5: Solve for x
    x = 29,524,481,685,092.25/3,877,533
  6. Step 6: Final answer
    x = 7,614,243.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.