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Finding the Third Proportional to 10,694,538 and 23,093,586

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Solution

The third proportional to 10,694,538 and 23,093,586 is: 49,867,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,538 : 23,093,586 = 23,093,586 : x
  2. Step 2: Convert to fraction form
    10,694,538/23,093,586 = 23,093,586/x
  3. Step 3: Cross multiply
    10,694,538x = 23,093,586 × 23,093,586
  4. Step 4: Simplify right side
    10,694,538x = 533,313,714,339,396
  5. Step 5: Solve for x
    x = 533,313,714,339,396/10,694,538
  6. Step 6: Final answer
    x = 49,867,859.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.