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Finding the Third Proportional to 238,061,783,606 and 513,994,023,388

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Solution

The third proportional to 238,061,783,606 and 513,994,023,388 is: 1,109,753,325,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,061,783,606 : 513,994,023,388 = 513,994,023,388 : x
  2. Step 2: Convert to fraction form
    238,061,783,606/513,994,023,388 = 513,994,023,388/x
  3. Step 3: Cross multiply
    238,061,783,606x = 513,994,023,388 × 513,994,023,388
  4. Step 4: Simplify right side
    238,061,783,606x = 264,189,856,078,583,883,104,256
  5. Step 5: Solve for x
    x = 264,189,856,078,583,883,104,256/238,061,783,606
  6. Step 6: Final answer
    x = 1,109,753,325,698.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.