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Finding the Third Proportional to 6,838,900 and 14,593,112

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Solution

The third proportional to 6,838,900 and 14,593,112 is: 31,139,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,900 : 14,593,112 = 14,593,112 : x
  2. Step 2: Convert to fraction form
    6,838,900/14,593,112 = 14,593,112/x
  3. Step 3: Cross multiply
    6,838,900x = 14,593,112 × 14,593,112
  4. Step 4: Simplify right side
    6,838,900x = 212,958,917,844,544
  5. Step 5: Solve for x
    x = 212,958,917,844,544/6,838,900
  6. Step 6: Final answer
    x = 31,139,352.50

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