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Finding the Third Proportional to 766,643,168 and 1,667,610,124

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Solution

The third proportional to 766,643,168 and 1,667,610,124 is: 3,627,402,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643,168 : 1,667,610,124 = 1,667,610,124 : x
  2. Step 2: Convert to fraction form
    766,643,168/1,667,610,124 = 1,667,610,124/x
  3. Step 3: Cross multiply
    766,643,168x = 1,667,610,124 × 1,667,610,124
  4. Step 4: Simplify right side
    766,643,168x = 2,780,923,525,667,295,232
  5. Step 5: Solve for x
    x = 2,780,923,525,667,295,232/766,643,168
  6. Step 6: Final answer
    x = 3,627,402,736.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.