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Finding the Third Proportional to 5,010,394.50 and 10,978,371

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Solution

The third proportional to 5,010,394.50 and 10,978,371 is: 24,054,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010,394.50 : 10,978,371 = 10,978,371 : x
  2. Step 2: Convert to fraction form
    5,010,394.50/10,978,371 = 10,978,371/x
  3. Step 3: Cross multiply
    5,010,394.50x = 10,978,371 × 10,978,371
  4. Step 4: Simplify right side
    5,010,394.50x = 120,524,629,813,641
  5. Step 5: Solve for x
    x = 120,524,629,813,641/5,010,394.50
  6. Step 6: Final answer
    x = 24,054,918.19

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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.