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Finding the Third Proportional to 127,509,944,010 and 279,040,076,400

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Solution

The third proportional to 127,509,944,010 and 279,040,076,400 is: 610,645,427,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,509,944,010 : 279,040,076,400 = 279,040,076,400 : x
  2. Step 2: Convert to fraction form
    127,509,944,010/279,040,076,400 = 279,040,076,400/x
  3. Step 3: Cross multiply
    127,509,944,010x = 279,040,076,400 × 279,040,076,400
  4. Step 4: Simplify right side
    127,509,944,010x = 77,863,364,237,317,839,519,744
  5. Step 5: Solve for x
    x = 77,863,364,237,317,839,519,744/127,509,944,010
  6. Step 6: Final answer
    x = 610,645,427,239.87

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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.