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Finding the Third Proportional to 2,582,729,102,481 and 5,548,743,517,719.20

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Solution

The third proportional to 2,582,729,102,481 and 5,548,743,517,719.20 is: 11,920,938,435,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,729,102,481 : 5,548,743,517,719.20 = 5,548,743,517,719.20 : x
  2. Step 2: Convert to fraction form
    2,582,729,102,481/5,548,743,517,719.20 = 5,548,743,517,719.20/x
  3. Step 3: Cross multiply
    2,582,729,102,481x = 5,548,743,517,719.20 × 5,548,743,517,719.20
  4. Step 4: Simplify right side
    2,582,729,102,481x = 30,788,554,625,430,842,505,166,848
  5. Step 5: Solve for x
    x = 30,788,554,625,430,842,505,166,848/2,582,729,102,481
  6. Step 6: Final answer
    x = 11,920,938,435,182.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.