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Finding the Third Proportional to 4,261,765,895,271 and 6,157,515,759,736.80

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Solution

The third proportional to 4,261,765,895,271 and 6,157,515,759,736.80 is: 8,896,546,939,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261,765,895,271 : 6,157,515,759,736.80 = 6,157,515,759,736.80 : x
  2. Step 2: Convert to fraction form
    4,261,765,895,271/6,157,515,759,736.80 = 6,157,515,759,736.80/x
  3. Step 3: Cross multiply
    4,261,765,895,271x = 6,157,515,759,736.80 × 6,157,515,759,736.80
  4. Step 4: Simplify right side
    4,261,765,895,271x = 37,915,000,331,407,059,694,125,056
  5. Step 5: Solve for x
    x = 37,915,000,331,407,059,694,125,056/4,261,765,895,271
  6. Step 6: Final answer
    x = 8,896,546,939,257.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.