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Finding the Third Proportional to 6,393,728 and 13,699,434

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Solution

The third proportional to 6,393,728 and 13,699,434 is: 29,352,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,728 : 13,699,434 = 13,699,434 : x
  2. Step 2: Convert to fraction form
    6,393,728/13,699,434 = 13,699,434/x
  3. Step 3: Cross multiply
    6,393,728x = 13,699,434 × 13,699,434
  4. Step 4: Simplify right side
    6,393,728x = 187,674,491,920,356
  5. Step 5: Solve for x
    x = 187,674,491,920,356/6,393,728
  6. Step 6: Final answer
    x = 29,352,905.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.