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Finding the Third Proportional to 19,965,847 and 30,669,985

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Solution

The third proportional to 19,965,847 and 30,669,985 is: 47,112,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965,847 : 30,669,985 = 30,669,985 : x
  2. Step 2: Convert to fraction form
    19,965,847/30,669,985 = 30,669,985/x
  3. Step 3: Cross multiply
    19,965,847x = 30,669,985 × 30,669,985
  4. Step 4: Simplify right side
    19,965,847x = 940,647,979,900,225
  5. Step 5: Solve for x
    x = 940,647,979,900,225/19,965,847
  6. Step 6: Final answer
    x = 47,112,851.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.