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Finding the Third Proportional to 319,775,512,296 and 711,048,265,168

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Solution

The third proportional to 319,775,512,296 and 711,048,265,168 is: 1,581,076,774,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,775,512,296 : 711,048,265,168 = 711,048,265,168 : x
  2. Step 2: Convert to fraction form
    319,775,512,296/711,048,265,168 = 711,048,265,168/x
  3. Step 3: Cross multiply
    319,775,512,296x = 711,048,265,168 × 711,048,265,168
  4. Step 4: Simplify right side
    319,775,512,296x = 505,589,635,398,422,455,386,112
  5. Step 5: Solve for x
    x = 505,589,635,398,422,455,386,112/319,775,512,296
  6. Step 6: Final answer
    x = 1,581,076,774,041.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.