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Finding the Third Proportional to 5,582,163.73 and 12,019,673.21

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Solution

The third proportional to 5,582,163.73 and 12,019,673.21 is: 25,881,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582,163.73 : 12,019,673.21 = 12,019,673.21 : x
  2. Step 2: Convert to fraction form
    5,582,163.73/12,019,673.21 = 12,019,673.21/x
  3. Step 3: Cross multiply
    5,582,163.73x = 12,019,673.21 × 12,019,673.21
  4. Step 4: Simplify right side
    5,582,163.73x = 144,472,544,191,638.28
  5. Step 5: Solve for x
    x = 144,472,544,191,638.28/5,582,163.73
  6. Step 6: Final answer
    x = 25,881,101.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.