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Finding the Third Proportional to 7,828,026 and 15,876,150

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Solution

The third proportional to 7,828,026 and 15,876,150 is: 32,198,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,026 : 15,876,150 = 15,876,150 : x
  2. Step 2: Convert to fraction form
    7,828,026/15,876,150 = 15,876,150/x
  3. Step 3: Cross multiply
    7,828,026x = 15,876,150 × 15,876,150
  4. Step 4: Simplify right side
    7,828,026x = 252,052,138,822,500
  5. Step 5: Solve for x
    x = 252,052,138,822,500/7,828,026
  6. Step 6: Final answer
    x = 32,198,684.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.