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Finding the Third Proportional to 772,316,591,685 and 1,662,667,200,138

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Solution

The third proportional to 772,316,591,685 and 1,662,667,200,138 is: 3,579,441,705,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,316,591,685 : 1,662,667,200,138 = 1,662,667,200,138 : x
  2. Step 2: Convert to fraction form
    772,316,591,685/1,662,667,200,138 = 1,662,667,200,138/x
  3. Step 3: Cross multiply
    772,316,591,685x = 1,662,667,200,138 × 1,662,667,200,138
  4. Step 4: Simplify right side
    772,316,591,685x = 2,764,462,218,414,736,285,892,608
  5. Step 5: Solve for x
    x = 2,764,462,218,414,736,285,892,608/772,316,591,685
  6. Step 6: Final answer
    x = 3,579,441,705,872.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.