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Finding the Third Proportional to 1,280,235,134,365 and 2,764,517,546,059

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Solution

The third proportional to 1,280,235,134,365 and 2,764,517,546,059 is: 5,969,651,243,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,235,134,365 : 2,764,517,546,059 = 2,764,517,546,059 : x
  2. Step 2: Convert to fraction form
    1,280,235,134,365/2,764,517,546,059 = 2,764,517,546,059/x
  3. Step 3: Cross multiply
    1,280,235,134,365x = 2,764,517,546,059 × 2,764,517,546,059
  4. Step 4: Simplify right side
    1,280,235,134,365x = 7,642,557,262,468,074,998,595,584
  5. Step 5: Solve for x
    x = 7,642,557,262,468,074,998,595,584/1,280,235,134,365
  6. Step 6: Final answer
    x = 5,969,651,243,994.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.