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Finding the Third Proportional to 1,299,167,692 and 2,667,208,208

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Solution

The third proportional to 1,299,167,692 and 2,667,208,208 is: 5,475,813,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,167,692 : 2,667,208,208 = 2,667,208,208 : x
  2. Step 2: Convert to fraction form
    1,299,167,692/2,667,208,208 = 2,667,208,208/x
  3. Step 3: Cross multiply
    1,299,167,692x = 2,667,208,208 × 2,667,208,208
  4. Step 4: Simplify right side
    1,299,167,692x = 7,113,999,624,822,571,008
  5. Step 5: Solve for x
    x = 7,113,999,624,822,571,008/1,299,167,692
  6. Step 6: Final answer
    x = 5,475,813,221.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.