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Finding the Third Proportional to 20,165,514 and 30,995,847

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Solution

The third proportional to 20,165,514 and 30,995,847 is: 47,642,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165,514 : 30,995,847 = 30,995,847 : x
  2. Step 2: Convert to fraction form
    20,165,514/30,995,847 = 30,995,847/x
  3. Step 3: Cross multiply
    20,165,514x = 30,995,847 × 30,995,847
  4. Step 4: Simplify right side
    20,165,514x = 960,742,531,247,409
  5. Step 5: Solve for x
    x = 960,742,531,247,409/20,165,514
  6. Step 6: Final answer
    x = 47,642,848.64

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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.