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Finding the Third Proportional to 1,546,881,589 and 2,453,450,176

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Solution

The third proportional to 1,546,881,589 and 2,453,450,176 is: 3,891,324,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,881,589 : 2,453,450,176 = 2,453,450,176 : x
  2. Step 2: Convert to fraction form
    1,546,881,589/2,453,450,176 = 2,453,450,176/x
  3. Step 3: Cross multiply
    1,546,881,589x = 2,453,450,176 × 2,453,450,176
  4. Step 4: Simplify right side
    1,546,881,589x = 6,019,417,766,114,430,976
  5. Step 5: Solve for x
    x = 6,019,417,766,114,430,976/1,546,881,589
  6. Step 6: Final answer
    x = 3,891,324,202.78

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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.