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Finding the Third Proportional to 5,336,058,305 and 11,590,699,824

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Solution

The third proportional to 5,336,058,305 and 11,590,699,824 is: 25,176,696,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336,058,305 : 11,590,699,824 = 11,590,699,824 : x
  2. Step 2: Convert to fraction form
    5,336,058,305/11,590,699,824 = 11,590,699,824/x
  3. Step 3: Cross multiply
    5,336,058,305x = 11,590,699,824 × 11,590,699,824
  4. Step 4: Simplify right side
    5,336,058,305x = 134,344,322,410,073,636,864
  5. Step 5: Solve for x
    x = 134,344,322,410,073,636,864/5,336,058,305
  6. Step 6: Final answer
    x = 25,176,696,867.08

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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.