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Finding the Third Proportional to 2,880,796.50 and 6,293,115

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Solution

The third proportional to 2,880,796.50 and 6,293,115 is: 13,747,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880,796.50 : 6,293,115 = 6,293,115 : x
  2. Step 2: Convert to fraction form
    2,880,796.50/6,293,115 = 6,293,115/x
  3. Step 3: Cross multiply
    2,880,796.50x = 6,293,115 × 6,293,115
  4. Step 4: Simplify right side
    2,880,796.50x = 39,603,296,403,225
  5. Step 5: Solve for x
    x = 39,603,296,403,225/2,880,796.50
  6. Step 6: Final answer
    x = 13,747,342.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.