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Finding the Third Proportional to 5,415,793 and 11,765,241

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Solution

The third proportional to 5,415,793 and 11,765,241 is: 25,558,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,793 : 11,765,241 = 11,765,241 : x
  2. Step 2: Convert to fraction form
    5,415,793/11,765,241 = 11,765,241/x
  3. Step 3: Cross multiply
    5,415,793x = 11,765,241 × 11,765,241
  4. Step 4: Simplify right side
    5,415,793x = 138,420,895,788,081
  5. Step 5: Solve for x
    x = 138,420,895,788,081/5,415,793
  6. Step 6: Final answer
    x = 25,558,749.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.