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Finding the Third Proportional to 6,314,211 and 9,235,120.50

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Solution

The third proportional to 6,314,211 and 9,235,120.50 is: 13,507,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,211 : 9,235,120.50 = 9,235,120.50 : x
  2. Step 2: Convert to fraction form
    6,314,211/9,235,120.50 = 9,235,120.50/x
  3. Step 3: Cross multiply
    6,314,211x = 9,235,120.50 × 9,235,120.50
  4. Step 4: Simplify right side
    6,314,211x = 85,287,450,649,520.25
  5. Step 5: Solve for x
    x = 85,287,450,649,520.25/6,314,211
  6. Step 6: Final answer
    x = 13,507,222.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.