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Finding the Third Proportional to 20,165,564 and 30,995,923

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Solution

The third proportional to 20,165,564 and 30,995,923 is: 47,642,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165,564 : 30,995,923 = 30,995,923 : x
  2. Step 2: Convert to fraction form
    20,165,564/30,995,923 = 30,995,923/x
  3. Step 3: Cross multiply
    20,165,564x = 30,995,923 × 30,995,923
  4. Step 4: Simplify right side
    20,165,564x = 960,747,242,621,929
  5. Step 5: Solve for x
    x = 960,747,242,621,929/20,165,564
  6. Step 6: Final answer
    x = 47,642,964.15

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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.