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Finding the Third Proportional to 6,977,450 and 9,424,190.50

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Solution

The third proportional to 6,977,450 and 9,424,190.50 is: 12,728,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,450 : 9,424,190.50 = 9,424,190.50 : x
  2. Step 2: Convert to fraction form
    6,977,450/9,424,190.50 = 9,424,190.50/x
  3. Step 3: Cross multiply
    6,977,450x = 9,424,190.50 × 9,424,190.50
  4. Step 4: Simplify right side
    6,977,450x = 88,815,366,580,290.25
  5. Step 5: Solve for x
    x = 88,815,366,580,290.25/6,977,450
  6. Step 6: Final answer
    x = 12,728,914.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.