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Finding the Third Proportional to 1,379,707,639.75 and 2,069,054,928.75

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Solution

The third proportional to 1,379,707,639.75 and 2,069,054,928.75 is: 3,102,822,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379,707,639.75 : 2,069,054,928.75 = 2,069,054,928.75 : x
  2. Step 2: Convert to fraction form
    1,379,707,639.75/2,069,054,928.75 = 2,069,054,928.75/x
  3. Step 3: Cross multiply
    1,379,707,639.75x = 2,069,054,928.75 × 2,069,054,928.75
  4. Step 4: Simplify right side
    1,379,707,639.75x = 4,280,988,298,184,667,648
  5. Step 5: Solve for x
    x = 4,280,988,298,184,667,648/1,379,707,639.75
  6. Step 6: Final answer
    x = 3,102,822,782.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.