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Finding the Third Proportional to 4,161,978 and 9,080,293.50

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Solution

The third proportional to 4,161,978 and 9,080,293.50 is: 19,810,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161,978 : 9,080,293.50 = 9,080,293.50 : x
  2. Step 2: Convert to fraction form
    4,161,978/9,080,293.50 = 9,080,293.50/x
  3. Step 3: Cross multiply
    4,161,978x = 9,080,293.50 × 9,080,293.50
  4. Step 4: Simplify right side
    4,161,978x = 82,451,730,046,142.25
  5. Step 5: Solve for x
    x = 82,451,730,046,142.25/4,161,978
  6. Step 6: Final answer
    x = 19,810,707.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.