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Finding the Third Proportional to 412,226,456 and 889,018,096

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Solution

The third proportional to 412,226,456 and 889,018,096 is: 1,917,279,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,226,456 : 889,018,096 = 889,018,096 : x
  2. Step 2: Convert to fraction form
    412,226,456/889,018,096 = 889,018,096/x
  3. Step 3: Cross multiply
    412,226,456x = 889,018,096 × 889,018,096
  4. Step 4: Simplify right side
    412,226,456x = 790,353,175,015,465,216
  5. Step 5: Solve for x
    x = 790,353,175,015,465,216/412,226,456
  6. Step 6: Final answer
    x = 1,917,279,115.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.