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Finding the Third Proportional to 2,371,869 and 5,200,825.50

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Solution

The third proportional to 2,371,869 and 5,200,825.50 is: 11,403,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,869 : 5,200,825.50 = 5,200,825.50 : x
  2. Step 2: Convert to fraction form
    2,371,869/5,200,825.50 = 5,200,825.50/x
  3. Step 3: Cross multiply
    2,371,869x = 5,200,825.50 × 5,200,825.50
  4. Step 4: Simplify right side
    2,371,869x = 27,048,585,881,450.25
  5. Step 5: Solve for x
    x = 27,048,585,881,450.25/2,371,869
  6. Step 6: Final answer
    x = 11,403,912.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.