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Finding the Third Proportional to 313,784,609.06 and 684,068,120.44

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Solution

The third proportional to 313,784,609.06 and 684,068,120.44 is: 1,491,307,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,784,609.06 : 684,068,120.44 = 684,068,120.44 : x
  2. Step 2: Convert to fraction form
    313,784,609.06/684,068,120.44 = 684,068,120.44/x
  3. Step 3: Cross multiply
    313,784,609.06x = 684,068,120.44 × 684,068,120.44
  4. Step 4: Simplify right side
    313,784,609.06x = 467,949,193,398,894,016
  5. Step 5: Solve for x
    x = 467,949,193,398,894,016/313,784,609.06
  6. Step 6: Final answer
    x = 1,491,307,029.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.