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Finding the Third Proportional to 37,322,014,166 and 82,251,443,326

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Solution

The third proportional to 37,322,014,166 and 82,251,443,326 is: 181,268,350,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,322,014,166 : 82,251,443,326 = 82,251,443,326 : x
  2. Step 2: Convert to fraction form
    37,322,014,166/82,251,443,326 = 82,251,443,326/x
  3. Step 3: Cross multiply
    37,322,014,166x = 82,251,443,326 × 82,251,443,326
  4. Step 4: Simplify right side
    37,322,014,166x = 6,765,299,929,210,189,512,704
  5. Step 5: Solve for x
    x = 6,765,299,929,210,189,512,704/37,322,014,166
  6. Step 6: Final answer
    x = 181,268,350,071.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.