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Finding the Third Proportional to 13,635,223 and 29,836,039

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Solution

The third proportional to 13,635,223 and 29,836,039 is: 65,286,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635,223 : 29,836,039 = 29,836,039 : x
  2. Step 2: Convert to fraction form
    13,635,223/29,836,039 = 29,836,039/x
  3. Step 3: Cross multiply
    13,635,223x = 29,836,039 × 29,836,039
  4. Step 4: Simplify right side
    13,635,223x = 890,189,223,209,521
  5. Step 5: Solve for x
    x = 890,189,223,209,521/13,635,223
  6. Step 6: Final answer
    x = 65,286,003.99

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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.