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Finding the Third Proportional to 2,569,810,728 and 3,467,278,016

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Solution

The third proportional to 2,569,810,728 and 3,467,278,016 is: 4,678,172,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,810,728 : 3,467,278,016 = 3,467,278,016 : x
  2. Step 2: Convert to fraction form
    2,569,810,728/3,467,278,016 = 3,467,278,016/x
  3. Step 3: Cross multiply
    2,569,810,728x = 3,467,278,016 × 3,467,278,016
  4. Step 4: Simplify right side
    2,569,810,728x = 12,022,016,840,236,896,256
  5. Step 5: Solve for x
    x = 12,022,016,840,236,896,256/2,569,810,728
  6. Step 6: Final answer
    x = 4,678,172,096.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.