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Finding the Third Proportional to 11,363,326 and 24,322,069

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Solution

The third proportional to 11,363,326 and 24,322,069 is: 52,058,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363,326 : 24,322,069 = 24,322,069 : x
  2. Step 2: Convert to fraction form
    11,363,326/24,322,069 = 24,322,069/x
  3. Step 3: Cross multiply
    11,363,326x = 24,322,069 × 24,322,069
  4. Step 4: Simplify right side
    11,363,326x = 591,563,040,440,761
  5. Step 5: Solve for x
    x = 591,563,040,440,761/11,363,326
  6. Step 6: Final answer
    x = 52,058,969.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.