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Finding the Third Proportional to 6,382,720,716 and 13,967,806,096

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Solution

The third proportional to 6,382,720,716 and 13,967,806,096 is: 30,566,840,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382,720,716 : 13,967,806,096 = 13,967,806,096 : x
  2. Step 2: Convert to fraction form
    6,382,720,716/13,967,806,096 = 13,967,806,096/x
  3. Step 3: Cross multiply
    6,382,720,716x = 13,967,806,096 × 13,967,806,096
  4. Step 4: Simplify right side
    6,382,720,716x = 195,099,607,135,454,756,864
  5. Step 5: Solve for x
    x = 195,099,607,135,454,756,864/6,382,720,716
  6. Step 6: Final answer
    x = 30,566,840,665.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.