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Finding the Third Proportional to 313,994,188,220 and 684,818,019,996

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Solution

The third proportional to 313,994,188,220 and 684,818,019,996 is: 1,493,580,894,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,994,188,220 : 684,818,019,996 = 684,818,019,996 : x
  2. Step 2: Convert to fraction form
    313,994,188,220/684,818,019,996 = 684,818,019,996/x
  3. Step 3: Cross multiply
    313,994,188,220x = 684,818,019,996 × 684,818,019,996
  4. Step 4: Simplify right side
    313,994,188,220x = 468,975,720,511,241,824,763,904
  5. Step 5: Solve for x
    x = 468,975,720,511,241,824,763,904/313,994,188,220
  6. Step 6: Final answer
    x = 1,493,580,894,505.77

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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.