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Finding the Third Proportional to 1,514,500,027 and 2,263,402,794

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Solution

The third proportional to 1,514,500,027 and 2,263,402,794 is: 3,382,629,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,500,027 : 2,263,402,794 = 2,263,402,794 : x
  2. Step 2: Convert to fraction form
    1,514,500,027/2,263,402,794 = 2,263,402,794/x
  3. Step 3: Cross multiply
    1,514,500,027x = 2,263,402,794 × 2,263,402,794
  4. Step 4: Simplify right side
    1,514,500,027x = 5,122,992,207,887,006,720
  5. Step 5: Solve for x
    x = 5,122,992,207,887,006,720/1,514,500,027
  6. Step 6: Final answer
    x = 3,382,629,327.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.