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Finding the Third Proportional to 37,884,919.50 and 55,410,201.56

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Solution

The third proportional to 37,884,919.50 and 55,410,201.56 is: 81,042,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884,919.50 : 55,410,201.56 = 55,410,201.56 : x
  2. Step 2: Convert to fraction form
    37,884,919.50/55,410,201.56 = 55,410,201.56/x
  3. Step 3: Cross multiply
    37,884,919.50x = 55,410,201.56 × 55,410,201.56
  4. Step 4: Simplify right side
    37,884,919.50x = 3,070,290,437,196,877.50
  5. Step 5: Solve for x
    x = 3,070,290,437,196,877.50/37,884,919.50
  6. Step 6: Final answer
    x = 81,042,548.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.