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Finding the Third Proportional to 769,881,064 and 1,659,947,984

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Solution

The third proportional to 769,881,064 and 1,659,947,984 is: 3,579,029,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,881,064 : 1,659,947,984 = 1,659,947,984 : x
  2. Step 2: Convert to fraction form
    769,881,064/1,659,947,984 = 1,659,947,984/x
  3. Step 3: Cross multiply
    769,881,064x = 1,659,947,984 × 1,659,947,984
  4. Step 4: Simplify right side
    769,881,064x = 2,755,427,309,585,664,000
  5. Step 5: Solve for x
    x = 2,755,427,309,585,664,000/769,881,064
  6. Step 6: Final answer
    x = 3,579,029,850.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.