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Finding the Third Proportional to 6,704,896 and 14,481,488

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Solution

The third proportional to 6,704,896 and 14,481,488 is: 31,277,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704,896 : 14,481,488 = 14,481,488 : x
  2. Step 2: Convert to fraction form
    6,704,896/14,481,488 = 14,481,488/x
  3. Step 3: Cross multiply
    6,704,896x = 14,481,488 × 14,481,488
  4. Step 4: Simplify right side
    6,704,896x = 209,713,494,694,144
  5. Step 5: Solve for x
    x = 209,713,494,694,144/6,704,896
  6. Step 6: Final answer
    x = 31,277,665.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.