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Finding the Third Proportional to 4,410,686.25 and 9,497,173.50

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Solution

The third proportional to 4,410,686.25 and 9,497,173.50 is: 20,449,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410,686.25 : 9,497,173.50 = 9,497,173.50 : x
  2. Step 2: Convert to fraction form
    4,410,686.25/9,497,173.50 = 9,497,173.50/x
  3. Step 3: Cross multiply
    4,410,686.25x = 9,497,173.50 × 9,497,173.50
  4. Step 4: Simplify right side
    4,410,686.25x = 90,196,304,489,102.25
  5. Step 5: Solve for x
    x = 90,196,304,489,102.25/4,410,686.25
  6. Step 6: Final answer
    x = 20,449,494.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.