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Finding the Third Proportional to 10,825,812 and 15,231,648

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Solution

The third proportional to 10,825,812 and 15,231,648 is: 21,430,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825,812 : 15,231,648 = 15,231,648 : x
  2. Step 2: Convert to fraction form
    10,825,812/15,231,648 = 15,231,648/x
  3. Step 3: Cross multiply
    10,825,812x = 15,231,648 × 15,231,648
  4. Step 4: Simplify right side
    10,825,812x = 232,003,100,795,904
  5. Step 5: Solve for x
    x = 232,003,100,795,904/10,825,812
  6. Step 6: Final answer
    x = 21,430,549.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.