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Finding the Third Proportional to 982,170,268 and 1,483,452,431

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Solution

The third proportional to 982,170,268 and 1,483,452,431 is: 2,240,580,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,170,268 : 1,483,452,431 = 1,483,452,431 : x
  2. Step 2: Convert to fraction form
    982,170,268/1,483,452,431 = 1,483,452,431/x
  3. Step 3: Cross multiply
    982,170,268x = 1,483,452,431 × 1,483,452,431
  4. Step 4: Simplify right side
    982,170,268x = 2,200,631,115,039,809,792
  5. Step 5: Solve for x
    x = 2,200,631,115,039,809,792/982,170,268
  6. Step 6: Final answer
    x = 2,240,580,056.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.