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Finding the Third Proportional to 6,747,558 and 14,693,107

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Solution

The third proportional to 6,747,558 and 14,693,107 is: 31,994,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,558 : 14,693,107 = 14,693,107 : x
  2. Step 2: Convert to fraction form
    6,747,558/14,693,107 = 14,693,107/x
  3. Step 3: Cross multiply
    6,747,558x = 14,693,107 × 14,693,107
  4. Step 4: Simplify right side
    6,747,558x = 215,887,393,313,449
  5. Step 5: Solve for x
    x = 215,887,393,313,449/6,747,558
  6. Step 6: Final answer
    x = 31,994,892.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.