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Finding the Third Proportional to 3,077,285.50 and 6,627,824

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Solution

The third proportional to 3,077,285.50 and 6,627,824 is: 14,274,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,285.50 : 6,627,824 = 6,627,824 : x
  2. Step 2: Convert to fraction form
    3,077,285.50/6,627,824 = 6,627,824/x
  3. Step 3: Cross multiply
    3,077,285.50x = 6,627,824 × 6,627,824
  4. Step 4: Simplify right side
    3,077,285.50x = 43,928,050,974,976
  5. Step 5: Solve for x
    x = 43,928,050,974,976/3,077,285.50
  6. Step 6: Final answer
    x = 14,274,935.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.