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Finding the Third Proportional to 1,233,182,454 and 2,910,089,871

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Solution

The third proportional to 1,233,182,454 and 2,910,089,871 is: 6,867,291,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,182,454 : 2,910,089,871 = 2,910,089,871 : x
  2. Step 2: Convert to fraction form
    1,233,182,454/2,910,089,871 = 2,910,089,871/x
  3. Step 3: Cross multiply
    1,233,182,454x = 2,910,089,871 × 2,910,089,871
  4. Step 4: Simplify right side
    1,233,182,454x = 8,468,623,057,296,796,672
  5. Step 5: Solve for x
    x = 8,468,623,057,296,796,672/1,233,182,454
  6. Step 6: Final answer
    x = 6,867,291,234.83

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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.