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Finding the Third Proportional to 313,994,188,281 and 684,818,020,122

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Solution

The third proportional to 313,994,188,281 and 684,818,020,122 is: 1,493,580,894,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,994,188,281 : 684,818,020,122 = 684,818,020,122 : x
  2. Step 2: Convert to fraction form
    313,994,188,281/684,818,020,122 = 684,818,020,122/x
  3. Step 3: Cross multiply
    313,994,188,281x = 684,818,020,122 × 684,818,020,122
  4. Step 4: Simplify right side
    313,994,188,281x = 468,975,720,683,816,026,636,288
  5. Step 5: Solve for x
    x = 468,975,720,683,816,026,636,288/313,994,188,281
  6. Step 6: Final answer
    x = 1,493,580,894,765.22

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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.