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Finding the Third Proportional to 30,195,860,366.75 and 65,693,212,524.75

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Solution

The third proportional to 30,195,860,366.75 and 65,693,212,524.75 is: 142,920,192,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195,860,366.75 : 65,693,212,524.75 = 65,693,212,524.75 : x
  2. Step 2: Convert to fraction form
    30,195,860,366.75/65,693,212,524.75 = 65,693,212,524.75/x
  3. Step 3: Cross multiply
    30,195,860,366.75x = 65,693,212,524.75 × 65,693,212,524.75
  4. Step 4: Simplify right side
    30,195,860,366.75x = 4,315,598,171,821,970,030,592
  5. Step 5: Solve for x
    x = 4,315,598,171,821,970,030,592/30,195,860,366.75
  6. Step 6: Final answer
    x = 142,920,192,351.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.