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Finding the Third Proportional to 3,589,793,469 and 5,514,362,293

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Solution

The third proportional to 3,589,793,469 and 5,514,362,293 is: 8,470,735,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,793,469 : 5,514,362,293 = 5,514,362,293 : x
  2. Step 2: Convert to fraction form
    3,589,793,469/5,514,362,293 = 5,514,362,293/x
  3. Step 3: Cross multiply
    3,589,793,469x = 5,514,362,293 × 5,514,362,293
  4. Step 4: Simplify right side
    3,589,793,469x = 30,408,191,498,460,217,344
  5. Step 5: Solve for x
    x = 30,408,191,498,460,217,344/3,589,793,469
  6. Step 6: Final answer
    x = 8,470,735,645.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.