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Finding the Third Proportional to 1,268,867,298 and 1,939,771,084

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Solution

The third proportional to 1,268,867,298 and 1,939,771,084 is: 2,965,410,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,867,298 : 1,939,771,084 = 1,939,771,084 : x
  2. Step 2: Convert to fraction form
    1,268,867,298/1,939,771,084 = 1,939,771,084/x
  3. Step 3: Cross multiply
    1,268,867,298x = 1,939,771,084 × 1,939,771,084
  4. Step 4: Simplify right side
    1,268,867,298x = 3,762,711,858,322,534,912
  5. Step 5: Solve for x
    x = 3,762,711,858,322,534,912/1,268,867,298
  6. Step 6: Final answer
    x = 2,965,410,066.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.