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Finding the Third Proportional to 313,784,602 and 684,068,086

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Solution

The third proportional to 313,784,602 and 684,068,086 is: 1,491,306,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,784,602 : 684,068,086 = 684,068,086 : x
  2. Step 2: Convert to fraction form
    313,784,602/684,068,086 = 684,068,086/x
  3. Step 3: Cross multiply
    313,784,602x = 684,068,086 × 684,068,086
  4. Step 4: Simplify right side
    313,784,602x = 467,949,146,283,703,424
  5. Step 5: Solve for x
    x = 467,949,146,283,703,424/313,784,602
  6. Step 6: Final answer
    x = 1,491,306,913.41

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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.