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Finding the Third Proportional to 37,256,146,372 and 81,255,263,147

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Solution

The third proportional to 37,256,146,372 and 81,255,263,147 is: 177,216,873,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,256,146,372 : 81,255,263,147 = 81,255,263,147 : x
  2. Step 2: Convert to fraction form
    37,256,146,372/81,255,263,147 = 81,255,263,147/x
  3. Step 3: Cross multiply
    37,256,146,372x = 81,255,263,147 × 81,255,263,147
  4. Step 4: Simplify right side
    37,256,146,372x = 6,602,417,789,088,216,121,344
  5. Step 5: Solve for x
    x = 6,602,417,789,088,216,121,344/37,256,146,372
  6. Step 6: Final answer
    x = 177,216,873,778.72

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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.