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Finding the Third Proportional to 6,984,576 and 10,433,847.75

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Solution

The third proportional to 6,984,576 and 10,433,847.75 is: 15,586,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,576 : 10,433,847.75 = 10,433,847.75 : x
  2. Step 2: Convert to fraction form
    6,984,576/10,433,847.75 = 10,433,847.75/x
  3. Step 3: Cross multiply
    6,984,576x = 10,433,847.75 × 10,433,847.75
  4. Step 4: Simplify right side
    6,984,576x = 108,865,178,870,180.06
  5. Step 5: Solve for x
    x = 108,865,178,870,180.06/6,984,576
  6. Step 6: Final answer
    x = 15,586,512.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.