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Finding the Third Proportional to 6,998,576.63 and 10,007,976.38

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Solution

The third proportional to 6,998,576.63 and 10,007,976.38 is: 14,311,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,576.63 : 10,007,976.38 = 10,007,976.38 : x
  2. Step 2: Convert to fraction form
    6,998,576.63/10,007,976.38 = 10,007,976.38/x
  3. Step 3: Cross multiply
    6,998,576.63x = 10,007,976.38 × 10,007,976.38
  4. Step 4: Simplify right side
    6,998,576.63x = 100,159,591,122,558.14
  5. Step 5: Solve for x
    x = 100,159,591,122,558.14/6,998,576.63
  6. Step 6: Final answer
    x = 14,311,423.09

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