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Finding the Third Proportional to 313,994,188,279 and 684,818,020,118

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Solution

The third proportional to 313,994,188,279 and 684,818,020,118 is: 1,493,580,894,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,994,188,279 : 684,818,020,118 = 684,818,020,118 : x
  2. Step 2: Convert to fraction form
    313,994,188,279/684,818,020,118 = 684,818,020,118/x
  3. Step 3: Cross multiply
    313,994,188,279x = 684,818,020,118 × 684,818,020,118
  4. Step 4: Simplify right side
    313,994,188,279x = 468,975,720,678,337,460,305,920
  5. Step 5: Solve for x
    x = 468,975,720,678,337,460,305,920/313,994,188,279
  6. Step 6: Final answer
    x = 1,493,580,894,757.29

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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.