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Finding the Third Proportional to 9,577,238,973 and 22,376,751,670

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Solution

The third proportional to 9,577,238,973 and 22,376,751,670 is: 52,282,188,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,238,973 : 22,376,751,670 = 22,376,751,670 : x
  2. Step 2: Convert to fraction form
    9,577,238,973/22,376,751,670 = 22,376,751,670/x
  3. Step 3: Cross multiply
    9,577,238,973x = 22,376,751,670 × 22,376,751,670
  4. Step 4: Simplify right side
    9,577,238,973x = 500,719,015,300,847,763,456
  5. Step 5: Solve for x
    x = 500,719,015,300,847,763,456/9,577,238,973
  6. Step 6: Final answer
    x = 52,282,188,709.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.