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Finding the Third Proportional to 19,271,904 and 29,858,256

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Solution

The third proportional to 19,271,904 and 29,858,256 is: 46,259,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271,904 : 29,858,256 = 29,858,256 : x
  2. Step 2: Convert to fraction form
    19,271,904/29,858,256 = 29,858,256/x
  3. Step 3: Cross multiply
    19,271,904x = 29,858,256 × 29,858,256
  4. Step 4: Simplify right side
    19,271,904x = 891,515,451,361,536
  5. Step 5: Solve for x
    x = 891,515,451,361,536/19,271,904
  6. Step 6: Final answer
    x = 46,259,853.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.