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Finding the Third Proportional to 6,382,720,692 and 13,967,806,049.25

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Solution

The third proportional to 6,382,720,692 and 13,967,806,049.25 is: 30,566,840,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382,720,692 : 13,967,806,049.25 = 13,967,806,049.25 : x
  2. Step 2: Convert to fraction form
    6,382,720,692/13,967,806,049.25 = 13,967,806,049.25/x
  3. Step 3: Cross multiply
    6,382,720,692x = 13,967,806,049.25 × 13,967,806,049.25
  4. Step 4: Simplify right side
    6,382,720,692x = 195,099,605,829,464,883,200
  5. Step 5: Solve for x
    x = 195,099,605,829,464,883,200/6,382,720,692
  6. Step 6: Final answer
    x = 30,566,840,575.37

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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.