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Finding the Third Proportional to 1,168,404,642 and 1,814,962,608

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Solution

The third proportional to 1,168,404,642 and 1,814,962,608 is: 2,819,305,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,404,642 : 1,814,962,608 = 1,814,962,608 : x
  2. Step 2: Convert to fraction form
    1,168,404,642/1,814,962,608 = 1,814,962,608/x
  3. Step 3: Cross multiply
    1,168,404,642x = 1,814,962,608 × 1,814,962,608
  4. Step 4: Simplify right side
    1,168,404,642x = 3,294,089,268,438,161,408
  5. Step 5: Solve for x
    x = 3,294,089,268,438,161,408/1,168,404,642
  6. Step 6: Final answer
    x = 2,819,305,187.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.