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Finding the Third Proportional to 2,556,013 and 5,471,081

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Solution

The third proportional to 2,556,013 and 5,471,081 is: 11,710,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556,013 : 5,471,081 = 5,471,081 : x
  2. Step 2: Convert to fraction form
    2,556,013/5,471,081 = 5,471,081/x
  3. Step 3: Cross multiply
    2,556,013x = 5,471,081 × 5,471,081
  4. Step 4: Simplify right side
    2,556,013x = 29,932,727,308,561
  5. Step 5: Solve for x
    x = 29,932,727,308,561/2,556,013
  6. Step 6: Final answer
    x = 11,710,710.12

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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.