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Finding the Third Proportional to 37,858,919.63 and 82,351,112.63

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Solution

The third proportional to 37,858,919.63 and 82,351,112.63 is: 179,130,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858,919.63 : 82,351,112.63 = 82,351,112.63 : x
  2. Step 2: Convert to fraction form
    37,858,919.63/82,351,112.63 = 82,351,112.63/x
  3. Step 3: Cross multiply
    37,858,919.63x = 82,351,112.63 × 82,351,112.63
  4. Step 4: Simplify right side
    37,858,919.63x = 6,781,705,750,575,434
  5. Step 5: Solve for x
    x = 6,781,705,750,575,434/37,858,919.63
  6. Step 6: Final answer
    x = 179,130,989.94

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