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Finding the Third Proportional to 2,398,040,170 and 3,597,060,254

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Solution

The third proportional to 2,398,040,170 and 3,597,060,254 is: 5,395,590,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,040,170 : 3,597,060,254 = 3,597,060,254 : x
  2. Step 2: Convert to fraction form
    2,398,040,170/3,597,060,254 = 3,597,060,254/x
  3. Step 3: Cross multiply
    2,398,040,170x = 3,597,060,254 × 3,597,060,254
  4. Step 4: Simplify right side
    2,398,040,170x = 12,938,842,470,906,544,128
  5. Step 5: Solve for x
    x = 12,938,842,470,906,544,128/2,398,040,170
  6. Step 6: Final answer
    x = 5,395,590,379.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.