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Finding the Third Proportional to 6,824,472 and 14,934,576

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Solution

The third proportional to 6,824,472 and 14,934,576 is: 32,682,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,472 : 14,934,576 = 14,934,576 : x
  2. Step 2: Convert to fraction form
    6,824,472/14,934,576 = 14,934,576/x
  3. Step 3: Cross multiply
    6,824,472x = 14,934,576 × 14,934,576
  4. Step 4: Simplify right side
    6,824,472x = 223,041,560,299,776
  5. Step 5: Solve for x
    x = 223,041,560,299,776/6,824,472
  6. Step 6: Final answer
    x = 32,682,610.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.