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Finding the Third Proportional to 6,023,586 and 11,744,526

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Solution

The third proportional to 6,023,586 and 11,744,526 is: 22,898,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023,586 : 11,744,526 = 11,744,526 : x
  2. Step 2: Convert to fraction form
    6,023,586/11,744,526 = 11,744,526/x
  3. Step 3: Cross multiply
    6,023,586x = 11,744,526 × 11,744,526
  4. Step 4: Simplify right side
    6,023,586x = 137,933,890,964,676
  5. Step 5: Solve for x
    x = 137,933,890,964,676/6,023,586
  6. Step 6: Final answer
    x = 22,898,965.99

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.