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Finding the Third Proportional to 6,711,584 and 14,542,912

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Solution

The third proportional to 6,711,584 and 14,542,912 is: 31,512,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711,584 : 14,542,912 = 14,542,912 : x
  2. Step 2: Convert to fraction form
    6,711,584/14,542,912 = 14,542,912/x
  3. Step 3: Cross multiply
    6,711,584x = 14,542,912 × 14,542,912
  4. Step 4: Simplify right side
    6,711,584x = 211,496,289,439,744
  5. Step 5: Solve for x
    x = 211,496,289,439,744/6,711,584
  6. Step 6: Final answer
    x = 31,512,127.31

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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.