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Finding the Third Proportional to 4,269,304.13 and 9,369,224.44

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Solution

The third proportional to 4,269,304.13 and 9,369,224.44 is: 20,561,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269,304.13 : 9,369,224.44 = 9,369,224.44 : x
  2. Step 2: Convert to fraction form
    4,269,304.13/9,369,224.44 = 9,369,224.44/x
  3. Step 3: Cross multiply
    4,269,304.13x = 9,369,224.44 × 9,369,224.44
  4. Step 4: Simplify right side
    4,269,304.13x = 87,782,366,560,247.19
  5. Step 5: Solve for x
    x = 87,782,366,560,247.19/4,269,304.13
  6. Step 6: Final answer
    x = 20,561,282.12

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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.