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Finding the Third Proportional to 6,332,109 and 14,932,873.50

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Solution

The third proportional to 6,332,109 and 14,932,873.50 is: 35,215,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332,109 : 14,932,873.50 = 14,932,873.50 : x
  2. Step 2: Convert to fraction form
    6,332,109/14,932,873.50 = 14,932,873.50/x
  3. Step 3: Cross multiply
    6,332,109x = 14,932,873.50 × 14,932,873.50
  4. Step 4: Simplify right side
    6,332,109x = 222,990,710,967,002.25
  5. Step 5: Solve for x
    x = 222,990,710,967,002.25/6,332,109
  6. Step 6: Final answer
    x = 35,215,867.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.