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Finding the Third Proportional to 51,428,738 and 107,117,860

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Solution

The third proportional to 51,428,738 and 107,117,860 is: 223,109,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428,738 : 107,117,860 = 107,117,860 : x
  2. Step 2: Convert to fraction form
    51,428,738/107,117,860 = 107,117,860/x
  3. Step 3: Cross multiply
    51,428,738x = 107,117,860 × 107,117,860
  4. Step 4: Simplify right side
    51,428,738x = 11,474,235,930,979,600
  5. Step 5: Solve for x
    x = 11,474,235,930,979,600/51,428,738
  6. Step 6: Final answer
    x = 223,109,420.48

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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.