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Finding the Third Proportional to 4,486,000.22 and 9,840,505.22

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Solution

The third proportional to 4,486,000.22 and 9,840,505.22 is: 21,586,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,000.22 : 9,840,505.22 = 9,840,505.22 : x
  2. Step 2: Convert to fraction form
    4,486,000.22/9,840,505.22 = 9,840,505.22/x
  3. Step 3: Cross multiply
    4,486,000.22x = 9,840,505.22 × 9,840,505.22
  4. Step 4: Simplify right side
    4,486,000.22x = 96,835,542,960,245.98
  5. Step 5: Solve for x
    x = 96,835,542,960,245.98/4,486,000.22
  6. Step 6: Final answer
    x = 21,586,165.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.