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Finding the Third Proportional to 1,774,815,420 and 2,769,667,176

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Solution

The third proportional to 1,774,815,420 and 2,769,667,176 is: 4,322,171,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,815,420 : 2,769,667,176 = 2,769,667,176 : x
  2. Step 2: Convert to fraction form
    1,774,815,420/2,769,667,176 = 2,769,667,176/x
  3. Step 3: Cross multiply
    1,774,815,420x = 2,769,667,176 × 2,769,667,176
  4. Step 4: Simplify right side
    1,774,815,420x = 7,671,056,265,811,815,424
  5. Step 5: Solve for x
    x = 7,671,056,265,811,815,424/1,774,815,420
  6. Step 6: Final answer
    x = 4,322,171,297.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.