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Finding the Third Proportional to 5,221,690.31 and 7,982,618.34

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Solution

The third proportional to 5,221,690.31 and 7,982,618.34 is: 12,203,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221,690.31 : 7,982,618.34 = 7,982,618.34 : x
  2. Step 2: Convert to fraction form
    5,221,690.31/7,982,618.34 = 7,982,618.34/x
  3. Step 3: Cross multiply
    5,221,690.31x = 7,982,618.34 × 7,982,618.34
  4. Step 4: Simplify right side
    5,221,690.31x = 63,722,195,621,973.99
  5. Step 5: Solve for x
    x = 63,722,195,621,973.99/5,221,690.31
  6. Step 6: Final answer
    x = 12,203,365.54

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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.