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Finding the Third Proportional to 6,951,266 and 15,138,307

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Solution

The third proportional to 6,951,266 and 15,138,307 is: 32,967,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951,266 : 15,138,307 = 15,138,307 : x
  2. Step 2: Convert to fraction form
    6,951,266/15,138,307 = 15,138,307/x
  3. Step 3: Cross multiply
    6,951,266x = 15,138,307 × 15,138,307
  4. Step 4: Simplify right side
    6,951,266x = 229,168,338,826,249
  5. Step 5: Solve for x
    x = 229,168,338,826,249/6,951,266
  6. Step 6: Final answer
    x = 32,967,856.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.