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Finding the Third Proportional to 13,081,419 and 20,079,738

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Solution

The third proportional to 13,081,419 and 20,079,738 is: 30,822,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081,419 : 20,079,738 = 20,079,738 : x
  2. Step 2: Convert to fraction form
    13,081,419/20,079,738 = 20,079,738/x
  3. Step 3: Cross multiply
    13,081,419x = 20,079,738 × 20,079,738
  4. Step 4: Simplify right side
    13,081,419x = 403,195,878,148,644
  5. Step 5: Solve for x
    x = 403,195,878,148,644/13,081,419
  6. Step 6: Final answer
    x = 30,822,029.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.