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Finding the Third Proportional to 10,284,846.75 and 21,420,964.13

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Solution

The third proportional to 10,284,846.75 and 21,420,964.13 is: 44,614,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284,846.75 : 21,420,964.13 = 21,420,964.13 : x
  2. Step 2: Convert to fraction form
    10,284,846.75/21,420,964.13 = 21,420,964.13/x
  3. Step 3: Cross multiply
    10,284,846.75x = 21,420,964.13 × 21,420,964.13
  4. Step 4: Simplify right side
    10,284,846.75x = 458,857,704,044,537
  5. Step 5: Solve for x
    x = 458,857,704,044,537/10,284,846.75
  6. Step 6: Final answer
    x = 44,614,928.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.