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Finding the Third Proportional to 74,134,871 and 154,405,782

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Solution

The third proportional to 74,134,871 and 154,405,782 is: 321,591,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134,871 : 154,405,782 = 154,405,782 : x
  2. Step 2: Convert to fraction form
    74,134,871/154,405,782 = 154,405,782/x
  3. Step 3: Cross multiply
    74,134,871x = 154,405,782 × 154,405,782
  4. Step 4: Simplify right side
    74,134,871x = 23,841,145,515,031,524
  5. Step 5: Solve for x
    x = 23,841,145,515,031,524/74,134,871
  6. Step 6: Final answer
    x = 321,591,515.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.