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Finding the Third Proportional to 6,838,896 and 14,593,104

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Solution

The third proportional to 6,838,896 and 14,593,104 is: 31,139,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,896 : 14,593,104 = 14,593,104 : x
  2. Step 2: Convert to fraction form
    6,838,896/14,593,104 = 14,593,104/x
  3. Step 3: Cross multiply
    6,838,896x = 14,593,104 × 14,593,104
  4. Step 4: Simplify right side
    6,838,896x = 212,958,684,354,816
  5. Step 5: Solve for x
    x = 212,958,684,354,816/6,838,896
  6. Step 6: Final answer
    x = 31,139,336.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.