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Finding the Third Proportional to 5,883,231.23 and 12,711,797.02

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Solution

The third proportional to 5,883,231.23 and 12,711,797.02 is: 27,466,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883,231.23 : 12,711,797.02 = 12,711,797.02 : x
  2. Step 2: Convert to fraction form
    5,883,231.23/12,711,797.02 = 12,711,797.02/x
  3. Step 3: Cross multiply
    5,883,231.23x = 12,711,797.02 × 12,711,797.02
  4. Step 4: Simplify right side
    5,883,231.23x = 161,589,783,366,452.66
  5. Step 5: Solve for x
    x = 161,589,783,366,452.66/5,883,231.23
  6. Step 6: Final answer
    x = 27,466,162.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.