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Finding the Third Proportional to 878,619,344 and 1,926,040,096

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Solution

The third proportional to 878,619,344 and 1,926,040,096 is: 4,222,113,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,619,344 : 1,926,040,096 = 1,926,040,096 : x
  2. Step 2: Convert to fraction form
    878,619,344/1,926,040,096 = 1,926,040,096/x
  3. Step 3: Cross multiply
    878,619,344x = 1,926,040,096 × 1,926,040,096
  4. Step 4: Simplify right side
    878,619,344x = 3,709,630,451,399,689,216
  5. Step 5: Solve for x
    x = 3,709,630,451,399,689,216/878,619,344
  6. Step 6: Final answer
    x = 4,222,113,338.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.