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Finding the Third Proportional to 6,382,720,684.69 and 13,967,806,034.53

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Solution

The third proportional to 6,382,720,684.69 and 13,967,806,034.53 is: 30,566,840,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382,720,684.69 : 13,967,806,034.53 = 13,967,806,034.53 : x
  2. Step 2: Convert to fraction form
    6,382,720,684.69/13,967,806,034.53 = 13,967,806,034.53/x
  3. Step 3: Cross multiply
    6,382,720,684.69x = 13,967,806,034.53 × 13,967,806,034.53
  4. Step 4: Simplify right side
    6,382,720,684.69x = 195,099,605,418,280,615,936
  5. Step 5: Solve for x
    x = 195,099,605,418,280,615,936/6,382,720,684.69
  6. Step 6: Final answer
    x = 30,566,840,545.97

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