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Finding the Third Proportional to 28,452,138,972,008 and 38,388,616,049,790

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Solution

The third proportional to 28,452,138,972,008 and 38,388,616,049,790 is: 51,795,256,717,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,452,138,972,008 : 38,388,616,049,790 = 38,388,616,049,790 : x
  2. Step 2: Convert to fraction form
    28,452,138,972,008/38,388,616,049,790 = 38,388,616,049,790/x
  3. Step 3: Cross multiply
    28,452,138,972,008x = 38,388,616,049,790 × 38,388,616,049,790
  4. Step 4: Simplify right side
    28,452,138,972,008x = 1,473,685,842,218,194,351,782,100,992
  5. Step 5: Solve for x
    x = 1,473,685,842,218,194,351,782,100,992/28,452,138,972,008
  6. Step 6: Final answer
    x = 51,795,256,717,537.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.