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Finding the Third Proportional to 6,208,533 and 9,274,561.50

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Solution

The third proportional to 6,208,533 and 9,274,561.50 is: 13,854,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208,533 : 9,274,561.50 = 9,274,561.50 : x
  2. Step 2: Convert to fraction form
    6,208,533/9,274,561.50 = 9,274,561.50/x
  3. Step 3: Cross multiply
    6,208,533x = 9,274,561.50 × 9,274,561.50
  4. Step 4: Simplify right side
    6,208,533x = 86,017,491,017,282.25
  5. Step 5: Solve for x
    x = 86,017,491,017,282.25/6,208,533
  6. Step 6: Final answer
    x = 13,854,720.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.