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Finding the Third Proportional to 9,322,058,634 and 19,973,780,760

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Solution

The third proportional to 9,322,058,634 and 19,973,780,760 is: 42,796,546,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322,058,634 : 19,973,780,760 = 19,973,780,760 : x
  2. Step 2: Convert to fraction form
    9,322,058,634/19,973,780,760 = 19,973,780,760/x
  3. Step 3: Cross multiply
    9,322,058,634x = 19,973,780,760 × 19,973,780,760
  4. Step 4: Simplify right side
    9,322,058,634x = 398,951,917,848,546,181,120
  5. Step 5: Solve for x
    x = 398,951,917,848,546,181,120/9,322,058,634
  6. Step 6: Final answer
    x = 42,796,546,719.14

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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.