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Finding the Third Proportional to 6,824,050.50 and 14,607,640.50

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Solution

The third proportional to 6,824,050.50 and 14,607,640.50 is: 31,269,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,050.50 : 14,607,640.50 = 14,607,640.50 : x
  2. Step 2: Convert to fraction form
    6,824,050.50/14,607,640.50 = 14,607,640.50/x
  3. Step 3: Cross multiply
    6,824,050.50x = 14,607,640.50 × 14,607,640.50
  4. Step 4: Simplify right side
    6,824,050.50x = 213,383,160,977,240.25
  5. Step 5: Solve for x
    x = 213,383,160,977,240.25/6,824,050.50
  6. Step 6: Final answer
    x = 31,269,282.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.