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Finding the Third Proportional to 2,452,956,760,593 and 5,367,546,557,190

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Solution

The third proportional to 2,452,956,760,593 and 5,367,546,557,190 is: 11,745,235,997,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,956,760,593 : 5,367,546,557,190 = 5,367,546,557,190 : x
  2. Step 2: Convert to fraction form
    2,452,956,760,593/5,367,546,557,190 = 5,367,546,557,190/x
  3. Step 3: Cross multiply
    2,452,956,760,593x = 5,367,546,557,190 × 5,367,546,557,190
  4. Step 4: Simplify right side
    2,452,956,760,593x = 28,810,556,043,602,222,114,668,544
  5. Step 5: Solve for x
    x = 28,810,556,043,602,222,114,668,544/2,452,956,760,593
  6. Step 6: Final answer
    x = 11,745,235,997,000.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.