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Finding the Third Proportional to 313,784,597 and 684,068,078

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Solution

The third proportional to 313,784,597 and 684,068,078 is: 1,491,306,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,784,597 : 684,068,078 = 684,068,078 : x
  2. Step 2: Convert to fraction form
    313,784,597/684,068,078 = 684,068,078/x
  3. Step 3: Cross multiply
    313,784,597x = 684,068,078 × 684,068,078
  4. Step 4: Simplify right side
    313,784,597x = 467,949,135,338,614,080
  5. Step 5: Solve for x
    x = 467,949,135,338,614,080/313,784,597
  6. Step 6: Final answer
    x = 1,491,306,902.29

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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.