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Finding the Third Proportional to 6,382,720,687 and 13,967,806,039

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Solution

The third proportional to 6,382,720,687 and 13,967,806,039 is: 30,566,840,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382,720,687 : 13,967,806,039 = 13,967,806,039 : x
  2. Step 2: Convert to fraction form
    6,382,720,687/13,967,806,039 = 13,967,806,039/x
  3. Step 3: Cross multiply
    6,382,720,687x = 13,967,806,039 × 13,967,806,039
  4. Step 4: Simplify right side
    6,382,720,687x = 195,099,605,543,124,860,928
  5. Step 5: Solve for x
    x = 195,099,605,543,124,860,928/6,382,720,687
  6. Step 6: Final answer
    x = 30,566,840,554.45

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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.