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Finding the Third Proportional to 51,116,934 and 110,028,339

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Solution

The third proportional to 51,116,934 and 110,028,339 is: 236,834,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,116,934 : 110,028,339 = 110,028,339 : x
  2. Step 2: Convert to fraction form
    51,116,934/110,028,339 = 110,028,339/x
  3. Step 3: Cross multiply
    51,116,934x = 110,028,339 × 110,028,339
  4. Step 4: Simplify right side
    51,116,934x = 12,106,235,383,098,920
  5. Step 5: Solve for x
    x = 12,106,235,383,098,920/51,116,934
  6. Step 6: Final answer
    x = 236,834,145.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.