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Finding the Third Proportional to 5,215,896 and 7,978,744.97

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Solution

The third proportional to 5,215,896 and 7,978,744.97 is: 12,205,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215,896 : 7,978,744.97 = 7,978,744.97 : x
  2. Step 2: Convert to fraction form
    5,215,896/7,978,744.97 = 7,978,744.97/x
  3. Step 3: Cross multiply
    5,215,896x = 7,978,744.97 × 7,978,744.97
  4. Step 4: Simplify right side
    5,215,896x = 63,660,371,276,353.44
  5. Step 5: Solve for x
    x = 63,660,371,276,353.44/5,215,896
  6. Step 6: Final answer
    x = 12,205,069.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.