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Finding the Third Proportional to 57,589,709.06 and 81,487,675.69

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Solution

The third proportional to 57,589,709.06 and 81,487,675.69 is: 115,302,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,589,709.06 : 81,487,675.69 = 81,487,675.69 : x
  2. Step 2: Convert to fraction form
    57,589,709.06/81,487,675.69 = 81,487,675.69/x
  3. Step 3: Cross multiply
    57,589,709.06x = 81,487,675.69 × 81,487,675.69
  4. Step 4: Simplify right side
    57,589,709.06x = 6,640,241,288,951,179
  5. Step 5: Solve for x
    x = 6,640,241,288,951,179/57,589,709.06
  6. Step 6: Final answer
    x = 115,302,567.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.