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Finding the Third Proportional to 51,515,184 and 107,260,512

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Solution

The third proportional to 51,515,184 and 107,260,512 is: 223,328,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,515,184 : 107,260,512 = 107,260,512 : x
  2. Step 2: Convert to fraction form
    51,515,184/107,260,512 = 107,260,512/x
  3. Step 3: Cross multiply
    51,515,184x = 107,260,512 × 107,260,512
  4. Step 4: Simplify right side
    51,515,184x = 11,504,817,434,502,144
  5. Step 5: Solve for x
    x = 11,504,817,434,502,144/51,515,184
  6. Step 6: Final answer
    x = 223,328,668.19

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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.