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Finding the Third Proportional to 32,741,564.81 and 54,565,986.09

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Solution

The third proportional to 32,741,564.81 and 54,565,986.09 is: 90,937,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,741,564.81 : 54,565,986.09 = 54,565,986.09 : x
  2. Step 2: Convert to fraction form
    32,741,564.81/54,565,986.09 = 54,565,986.09/x
  3. Step 3: Cross multiply
    32,741,564.81x = 54,565,986.09 × 54,565,986.09
  4. Step 4: Simplify right side
    32,741,564.81x = 2,977,446,838,383,318.50
  5. Step 5: Solve for x
    x = 2,977,446,838,383,318.50/32,741,564.81
  6. Step 6: Final answer
    x = 90,937,829.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.