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Finding the Third Proportional to 848,741,584,840 and 1,851,096,464,165

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Solution

The third proportional to 848,741,584,840 and 1,851,096,464,165 is: 4,037,221,906,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,741,584,840 : 1,851,096,464,165 = 1,851,096,464,165 : x
  2. Step 2: Convert to fraction form
    848,741,584,840/1,851,096,464,165 = 1,851,096,464,165/x
  3. Step 3: Cross multiply
    848,741,584,840x = 1,851,096,464,165 × 1,851,096,464,165
  4. Step 4: Simplify right side
    848,741,584,840x = 3,426,558,119,644,164,874,305,536
  5. Step 5: Solve for x
    x = 3,426,558,119,644,164,874,305,536/848,741,584,840
  6. Step 6: Final answer
    x = 4,037,221,906,936.63

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Why These Related Problems?

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