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Finding the Third Proportional to 17,782,099.50 and 26,813,280

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Solution

The third proportional to 17,782,099.50 and 26,813,280 is: 40,431,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782,099.50 : 26,813,280 = 26,813,280 : x
  2. Step 2: Convert to fraction form
    17,782,099.50/26,813,280 = 26,813,280/x
  3. Step 3: Cross multiply
    17,782,099.50x = 26,813,280 × 26,813,280
  4. Step 4: Simplify right side
    17,782,099.50x = 718,951,984,358,400
  5. Step 5: Solve for x
    x = 718,951,984,358,400/17,782,099.50
  6. Step 6: Final answer
    x = 40,431,220.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.