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Finding the Third Proportional to 127,509,943,811 and 279,040,076,041

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Solution

The third proportional to 127,509,943,811 and 279,040,076,041 is: 610,645,426,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,509,943,811 : 279,040,076,041 = 279,040,076,041 : x
  2. Step 2: Convert to fraction form
    127,509,943,811/279,040,076,041 = 279,040,076,041/x
  3. Step 3: Cross multiply
    127,509,943,811x = 279,040,076,041 × 279,040,076,041
  4. Step 4: Simplify right side
    127,509,943,811x = 77,863,364,036,967,060,733,952
  5. Step 5: Solve for x
    x = 77,863,364,036,967,060,733,952/127,509,943,811
  6. Step 6: Final answer
    x = 610,645,426,621.62

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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.