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Finding the Third Proportional to 30,486,536 and 65,393,727

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Solution

The third proportional to 30,486,536 and 65,393,727 is: 140,269,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486,536 : 65,393,727 = 65,393,727 : x
  2. Step 2: Convert to fraction form
    30,486,536/65,393,727 = 65,393,727/x
  3. Step 3: Cross multiply
    30,486,536x = 65,393,727 × 65,393,727
  4. Step 4: Simplify right side
    30,486,536x = 4,276,339,530,950,529
  5. Step 5: Solve for x
    x = 4,276,339,530,950,529/30,486,536
  6. Step 6: Final answer
    x = 140,269,774.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.