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Finding the Third Proportional to 260,959,968 and 414,582,868

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Solution

The third proportional to 260,959,968 and 414,582,868 is: 658,641,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,959,968 : 414,582,868 = 414,582,868 : x
  2. Step 2: Convert to fraction form
    260,959,968/414,582,868 = 414,582,868/x
  3. Step 3: Cross multiply
    260,959,968x = 414,582,868 × 414,582,868
  4. Step 4: Simplify right side
    260,959,968x = 171,878,954,439,105,408
  5. Step 5: Solve for x
    x = 171,878,954,439,105,408/260,959,968
  6. Step 6: Final answer
    x = 658,641,077.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.