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Finding the Third Proportional to 11,397,945 and 23,260,992

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Solution

The third proportional to 11,397,945 and 23,260,992 is: 47,471,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397,945 : 23,260,992 = 23,260,992 : x
  2. Step 2: Convert to fraction form
    11,397,945/23,260,992 = 23,260,992/x
  3. Step 3: Cross multiply
    11,397,945x = 23,260,992 × 23,260,992
  4. Step 4: Simplify right side
    11,397,945x = 541,073,748,824,064
  5. Step 5: Solve for x
    x = 541,073,748,824,064/11,397,945
  6. Step 6: Final answer
    x = 47,471,166.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.