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Finding the Third Proportional to 13,830,414 and 20,297,212

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Solution

The third proportional to 13,830,414 and 20,297,212 is: 29,787,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,414 : 20,297,212 = 20,297,212 : x
  2. Step 2: Convert to fraction form
    13,830,414/20,297,212 = 20,297,212/x
  3. Step 3: Cross multiply
    13,830,414x = 20,297,212 × 20,297,212
  4. Step 4: Simplify right side
    13,830,414x = 411,976,814,972,944
  5. Step 5: Solve for x
    x = 411,976,814,972,944/13,830,414
  6. Step 6: Final answer
    x = 29,787,742.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.