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Finding the Third Proportional to 6,649,912.13 and 14,325,664.50

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Solution

The third proportional to 6,649,912.13 and 14,325,664.50 is: 30,861,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,912.13 : 14,325,664.50 = 14,325,664.50 : x
  2. Step 2: Convert to fraction form
    6,649,912.13/14,325,664.50 = 14,325,664.50/x
  3. Step 3: Cross multiply
    6,649,912.13x = 14,325,664.50 × 14,325,664.50
  4. Step 4: Simplify right side
    6,649,912.13x = 205,224,663,366,560.25
  5. Step 5: Solve for x
    x = 205,224,663,366,560.25/6,649,912.13
  6. Step 6: Final answer
    x = 30,861,259.44

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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.