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Finding the Third Proportional to 2,556,014 and 5,471,082

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Solution

The third proportional to 2,556,014 and 5,471,082 is: 11,710,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556,014 : 5,471,082 = 5,471,082 : x
  2. Step 2: Convert to fraction form
    2,556,014/5,471,082 = 5,471,082/x
  3. Step 3: Cross multiply
    2,556,014x = 5,471,082 × 5,471,082
  4. Step 4: Simplify right side
    2,556,014x = 29,932,738,250,724
  5. Step 5: Solve for x
    x = 29,932,738,250,724/2,556,014
  6. Step 6: Final answer
    x = 11,710,709.82

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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.