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Finding the Third Proportional to 2,675,913 and 5,718,162

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Solution

The third proportional to 2,675,913 and 5,718,162 is: 12,219,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,913 : 5,718,162 = 5,718,162 : x
  2. Step 2: Convert to fraction form
    2,675,913/5,718,162 = 5,718,162/x
  3. Step 3: Cross multiply
    2,675,913x = 5,718,162 × 5,718,162
  4. Step 4: Simplify right side
    2,675,913x = 32,697,376,658,244
  5. Step 5: Solve for x
    x = 32,697,376,658,244/2,675,913
  6. Step 6: Final answer
    x = 12,219,147.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.