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Finding the Third Proportional to 2,850,217 and 6,270,471

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Solution

The third proportional to 2,850,217 and 6,270,471 is: 13,795,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850,217 : 6,270,471 = 6,270,471 : x
  2. Step 2: Convert to fraction form
    2,850,217/6,270,471 = 6,270,471/x
  3. Step 3: Cross multiply
    2,850,217x = 6,270,471 × 6,270,471
  4. Step 4: Simplify right side
    2,850,217x = 39,318,806,561,841
  5. Step 5: Solve for x
    x = 39,318,806,561,841/2,850,217
  6. Step 6: Final answer
    x = 13,795,022.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.