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Finding the Third Proportional to 755,246,112 and 1,166,409,014

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Solution

The third proportional to 755,246,112 and 1,166,409,014 is: 1,801,412,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,246,112 : 1,166,409,014 = 1,166,409,014 : x
  2. Step 2: Convert to fraction form
    755,246,112/1,166,409,014 = 1,166,409,014/x
  3. Step 3: Cross multiply
    755,246,112x = 1,166,409,014 × 1,166,409,014
  4. Step 4: Simplify right side
    755,246,112x = 1,360,509,987,940,452,096
  5. Step 5: Solve for x
    x = 1,360,509,987,940,452,096/755,246,112
  6. Step 6: Final answer
    x = 1,801,412,766.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.