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Finding the Third Proportional to 5,324,194 and 7,983,687

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Solution

The third proportional to 5,324,194 and 7,983,687 is: 11,971,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324,194 : 7,983,687 = 7,983,687 : x
  2. Step 2: Convert to fraction form
    5,324,194/7,983,687 = 7,983,687/x
  3. Step 3: Cross multiply
    5,324,194x = 7,983,687 × 7,983,687
  4. Step 4: Simplify right side
    5,324,194x = 63,739,258,113,969
  5. Step 5: Solve for x
    x = 63,739,258,113,969/5,324,194
  6. Step 6: Final answer
    x = 11,971,625.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.