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Finding the Third Proportional to 6,133,122 and 13,380,255

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Solution

The third proportional to 6,133,122 and 13,380,255 is: 29,190,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133,122 : 13,380,255 = 13,380,255 : x
  2. Step 2: Convert to fraction form
    6,133,122/13,380,255 = 13,380,255/x
  3. Step 3: Cross multiply
    6,133,122x = 13,380,255 × 13,380,255
  4. Step 4: Simplify right side
    6,133,122x = 179,031,223,865,025
  5. Step 5: Solve for x
    x = 179,031,223,865,025/6,133,122
  6. Step 6: Final answer
    x = 29,190,879.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.