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Finding the Third Proportional to 51,003,900 and 110,067,867

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Solution

The third proportional to 51,003,900 and 110,067,867 is: 237,529,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003,900 : 110,067,867 = 110,067,867 : x
  2. Step 2: Convert to fraction form
    51,003,900/110,067,867 = 110,067,867/x
  3. Step 3: Cross multiply
    51,003,900x = 110,067,867 × 110,067,867
  4. Step 4: Simplify right side
    51,003,900x = 12,114,935,345,929,688
  5. Step 5: Solve for x
    x = 12,114,935,345,929,688/51,003,900
  6. Step 6: Final answer
    x = 237,529,587.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.