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Finding the Third Proportional to 1,299,167,688 and 2,667,208,200

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Solution

The third proportional to 1,299,167,688 and 2,667,208,200 is: 5,475,813,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,167,688 : 2,667,208,200 = 2,667,208,200 : x
  2. Step 2: Convert to fraction form
    1,299,167,688/2,667,208,200 = 2,667,208,200/x
  3. Step 3: Cross multiply
    1,299,167,688x = 2,667,208,200 × 2,667,208,200
  4. Step 4: Simplify right side
    1,299,167,688x = 7,113,999,582,147,239,936
  5. Step 5: Solve for x
    x = 7,113,999,582,147,239,936/1,299,167,688
  6. Step 6: Final answer
    x = 5,475,813,205.53

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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.