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Finding the Third Proportional to 798,128,738,814 and 1,652,831,635,059

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Solution

The third proportional to 798,128,738,814 and 1,652,831,635,059 is: 3,422,821,759,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,128,738,814 : 1,652,831,635,059 = 1,652,831,635,059 : x
  2. Step 2: Convert to fraction form
    798,128,738,814/1,652,831,635,059 = 1,652,831,635,059/x
  3. Step 3: Cross multiply
    798,128,738,814x = 1,652,831,635,059 × 1,652,831,635,059
  4. Step 4: Simplify right side
    798,128,738,814x = 2,731,852,413,851,807,409,766,400
  5. Step 5: Solve for x
    x = 2,731,852,413,851,807,409,766,400/798,128,738,814
  6. Step 6: Final answer
    x = 3,422,821,759,195.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.