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Finding the Third Proportional to 1,233,182,452 and 2,910,089,866

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Solution

The third proportional to 1,233,182,452 and 2,910,089,866 is: 6,867,291,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,182,452 : 2,910,089,866 = 2,910,089,866 : x
  2. Step 2: Convert to fraction form
    1,233,182,452/2,910,089,866 = 2,910,089,866/x
  3. Step 3: Cross multiply
    1,233,182,452x = 2,910,089,866 × 2,910,089,866
  4. Step 4: Simplify right side
    1,233,182,452x = 8,468,623,028,195,898,368
  5. Step 5: Solve for x
    x = 8,468,623,028,195,898,368/1,233,182,452
  6. Step 6: Final answer
    x = 6,867,291,222.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.