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Finding the Third Proportional to 4,825,556,305 and 10,413,290,857

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Solution

The third proportional to 4,825,556,305 and 10,413,290,857 is: 22,471,321,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825,556,305 : 10,413,290,857 = 10,413,290,857 : x
  2. Step 2: Convert to fraction form
    4,825,556,305/10,413,290,857 = 10,413,290,857/x
  3. Step 3: Cross multiply
    4,825,556,305x = 10,413,290,857 × 10,413,290,857
  4. Step 4: Simplify right side
    4,825,556,305x = 108,436,626,472,479,801,344
  5. Step 5: Solve for x
    x = 108,436,626,472,479,801,344/4,825,556,305
  6. Step 6: Final answer
    x = 22,471,321,360.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.