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Finding the Third Proportional to 18,075,023.25 and 27,536,065.88

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Solution

The third proportional to 18,075,023.25 and 27,536,065.88 is: 41,949,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,075,023.25 : 27,536,065.88 = 27,536,065.88 : x
  2. Step 2: Convert to fraction form
    18,075,023.25/27,536,065.88 = 27,536,065.88/x
  3. Step 3: Cross multiply
    18,075,023.25x = 27,536,065.88 × 27,536,065.88
  4. Step 4: Simplify right side
    18,075,023.25x = 758,234,923,872,339.50
  5. Step 5: Solve for x
    x = 758,234,923,872,339.50/18,075,023.25
  6. Step 6: Final answer
    x = 41,949,319.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.