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Finding the Third Proportional to 5,740,339,853 and 8,985,199,689

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Solution

The third proportional to 5,740,339,853 and 8,985,199,689 is: 14,064,291,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,339,853 : 8,985,199,689 = 8,985,199,689 : x
  2. Step 2: Convert to fraction form
    5,740,339,853/8,985,199,689 = 8,985,199,689/x
  3. Step 3: Cross multiply
    5,740,339,853x = 8,985,199,689 × 8,985,199,689
  4. Step 4: Simplify right side
    5,740,339,853x = 80,733,813,451,205,689,344
  5. Step 5: Solve for x
    x = 80,733,813,451,205,689,344/5,740,339,853
  6. Step 6: Final answer
    x = 14,064,291,578.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.