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Finding the Third Proportional to 365,831,907,808.50 and 792,453,757,365

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Solution

The third proportional to 365,831,907,808.50 and 792,453,757,365 is: 1,716,588,805,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,831,907,808.50 : 792,453,757,365 = 792,453,757,365 : x
  2. Step 2: Convert to fraction form
    365,831,907,808.50/792,453,757,365 = 792,453,757,365/x
  3. Step 3: Cross multiply
    365,831,907,808.50x = 792,453,757,365 × 792,453,757,365
  4. Step 4: Simplify right side
    365,831,907,808.50x = 627,982,957,561,906,318,016,512
  5. Step 5: Solve for x
    x = 627,982,957,561,906,318,016,512/365,831,907,808.50
  6. Step 6: Final answer
    x = 1,716,588,805,289.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.