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Finding the Third Proportional to 313,784,583.75 and 684,068,049.75

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Solution

The third proportional to 313,784,583.75 and 684,068,049.75 is: 1,491,306,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,784,583.75 : 684,068,049.75 = 684,068,049.75 : x
  2. Step 2: Convert to fraction form
    313,784,583.75/684,068,049.75 = 684,068,049.75/x
  3. Step 3: Cross multiply
    313,784,583.75x = 684,068,049.75 × 684,068,049.75
  4. Step 4: Simplify right side
    313,784,583.75x = 467,949,096,688,768,448
  5. Step 5: Solve for x
    x = 467,949,096,688,768,448/313,784,583.75
  6. Step 6: Final answer
    x = 1,491,306,842.09

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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.