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Finding the Third Proportional to 6,751,390.50 and 9,647,577

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Solution

The third proportional to 6,751,390.50 and 9,647,577 is: 13,786,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751,390.50 : 9,647,577 = 9,647,577 : x
  2. Step 2: Convert to fraction form
    6,751,390.50/9,647,577 = 9,647,577/x
  3. Step 3: Cross multiply
    6,751,390.50x = 9,647,577 × 9,647,577
  4. Step 4: Simplify right side
    6,751,390.50x = 93,075,741,970,929
  5. Step 5: Solve for x
    x = 93,075,741,970,929/6,751,390.50
  6. Step 6: Final answer
    x = 13,786,158.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.