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Finding the Third Proportional to 1,279,102,049,912.20 and 2,844,193,062,017.20

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Solution

The third proportional to 1,279,102,049,912.20 and 2,844,193,062,017.20 is: 6,324,307,098,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,102,049,912.20 : 2,844,193,062,017.20 = 2,844,193,062,017.20 : x
  2. Step 2: Convert to fraction form
    1,279,102,049,912.20/2,844,193,062,017.20 = 2,844,193,062,017.20/x
  3. Step 3: Cross multiply
    1,279,102,049,912.20x = 2,844,193,062,017.20 × 2,844,193,062,017.20
  4. Step 4: Simplify right side
    1,279,102,049,912.20x = 8,089,434,174,026,777,173,688,320
  5. Step 5: Solve for x
    x = 8,089,434,174,026,777,173,688,320/1,279,102,049,912.20
  6. Step 6: Final answer
    x = 6,324,307,098,547.81

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