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Finding the Third Proportional to 9,577,238,971 and 22,376,751,665

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Solution

The third proportional to 9,577,238,971 and 22,376,751,665 is: 52,282,188,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,238,971 : 22,376,751,665 = 22,376,751,665 : x
  2. Step 2: Convert to fraction form
    9,577,238,971/22,376,751,665 = 22,376,751,665/x
  3. Step 3: Cross multiply
    9,577,238,971x = 22,376,751,665 × 22,376,751,665
  4. Step 4: Simplify right side
    9,577,238,971x = 500,719,015,077,080,268,800
  5. Step 5: Solve for x
    x = 500,719,015,077,080,268,800/9,577,238,971
  6. Step 6: Final answer
    x = 52,282,188,696.90

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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.