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Finding the Third Proportional to 6,856,564.50 and 14,280,642.75

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Solution

The third proportional to 6,856,564.50 and 14,280,642.75 is: 29,743,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,564.50 : 14,280,642.75 = 14,280,642.75 : x
  2. Step 2: Convert to fraction form
    6,856,564.50/14,280,642.75 = 14,280,642.75/x
  3. Step 3: Cross multiply
    6,856,564.50x = 14,280,642.75 × 14,280,642.75
  4. Step 4: Simplify right side
    6,856,564.50x = 203,936,757,353,127.56
  5. Step 5: Solve for x
    x = 203,936,757,353,127.56/6,856,564.50
  6. Step 6: Final answer
    x = 29,743,285.77

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.