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Finding the Third Proportional to 2,086,121,348 and 4,420,957,086

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Solution

The third proportional to 2,086,121,348 and 4,420,957,086 is: 9,368,995,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,121,348 : 4,420,957,086 = 4,420,957,086 : x
  2. Step 2: Convert to fraction form
    2,086,121,348/4,420,957,086 = 4,420,957,086/x
  3. Step 3: Cross multiply
    2,086,121,348x = 4,420,957,086 × 4,420,957,086
  4. Step 4: Simplify right side
    2,086,121,348x = 19,544,861,556,253,609,984
  5. Step 5: Solve for x
    x = 19,544,861,556,253,609,984/2,086,121,348
  6. Step 6: Final answer
    x = 9,368,995,516.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.