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Finding the Third Proportional to 32,896,523.25 and 71,284,603.50

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Solution

The third proportional to 32,896,523.25 and 71,284,603.50 is: 154,469,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896,523.25 : 71,284,603.50 = 71,284,603.50 : x
  2. Step 2: Convert to fraction form
    32,896,523.25/71,284,603.50 = 71,284,603.50/x
  3. Step 3: Cross multiply
    32,896,523.25x = 71,284,603.50 × 71,284,603.50
  4. Step 4: Simplify right side
    32,896,523.25x = 5,081,494,696,152,212
  5. Step 5: Solve for x
    x = 5,081,494,696,152,212/32,896,523.25
  6. Step 6: Final answer
    x = 154,469,050.04

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