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Finding the Third Proportional to 37,660,873.43 and 81,606,485.60

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Solution

The third proportional to 37,660,873.43 and 81,606,485.60 is: 176,831,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660,873.43 : 81,606,485.60 = 81,606,485.60 : x
  2. Step 2: Convert to fraction form
    37,660,873.43/81,606,485.60 = 81,606,485.60/x
  3. Step 3: Cross multiply
    37,660,873.43x = 81,606,485.60 × 81,606,485.60
  4. Step 4: Simplify right side
    37,660,873.43x = 6,659,618,492,238,273
  5. Step 5: Solve for x
    x = 6,659,618,492,238,273/37,660,873.43
  6. Step 6: Final answer
    x = 176,831,227.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.