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Finding the Third Proportional to 1,192,633,620 and 2,551,076,796

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Solution

The third proportional to 1,192,633,620 and 2,551,076,796 is: 5,456,824,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,633,620 : 2,551,076,796 = 2,551,076,796 : x
  2. Step 2: Convert to fraction form
    1,192,633,620/2,551,076,796 = 2,551,076,796/x
  3. Step 3: Cross multiply
    1,192,633,620x = 2,551,076,796 × 2,551,076,796
  4. Step 4: Simplify right side
    1,192,633,620x = 6,507,992,819,089,626,112
  5. Step 5: Solve for x
    x = 6,507,992,819,089,626,112/1,192,633,620
  6. Step 6: Final answer
    x = 5,456,824,887.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.