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Finding the Third Proportional to 8,378,278,654 and 18,227,532,964

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Solution

The third proportional to 8,378,278,654 and 18,227,532,964 is: 39,655,276,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,278,654 : 18,227,532,964 = 18,227,532,964 : x
  2. Step 2: Convert to fraction form
    8,378,278,654/18,227,532,964 = 18,227,532,964/x
  3. Step 3: Cross multiply
    8,378,278,654x = 18,227,532,964 × 18,227,532,964
  4. Step 4: Simplify right side
    8,378,278,654x = 332,242,957,953,706,622,976
  5. Step 5: Solve for x
    x = 332,242,957,953,706,622,976/8,378,278,654
  6. Step 6: Final answer
    x = 39,655,276,659.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.