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Finding the Third Proportional to 6,649,858.50 and 14,325,550.50

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Solution

The third proportional to 6,649,858.50 and 14,325,550.50 is: 30,861,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,858.50 : 14,325,550.50 = 14,325,550.50 : x
  2. Step 2: Convert to fraction form
    6,649,858.50/14,325,550.50 = 14,325,550.50/x
  3. Step 3: Cross multiply
    6,649,858.50x = 14,325,550.50 × 14,325,550.50
  4. Step 4: Simplify right side
    6,649,858.50x = 205,221,397,128,050.25
  5. Step 5: Solve for x
    x = 205,221,397,128,050.25/6,649,858.50
  6. Step 6: Final answer
    x = 30,861,017.14

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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.