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Finding the Third Proportional to 6,998,576 and 10,007,975

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Solution

The third proportional to 6,998,576 and 10,007,975 is: 14,311,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,576 : 10,007,975 = 10,007,975 : x
  2. Step 2: Convert to fraction form
    6,998,576/10,007,975 = 10,007,975/x
  3. Step 3: Cross multiply
    6,998,576x = 10,007,975 × 10,007,975
  4. Step 4: Simplify right side
    6,998,576x = 100,159,563,600,625
  5. Step 5: Solve for x
    x = 100,159,563,600,625/6,998,576
  6. Step 6: Final answer
    x = 14,311,420.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.