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Finding the Third Proportional to 6,332,106 and 14,932,863

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Solution

The third proportional to 6,332,106 and 14,932,863 is: 35,215,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332,106 : 14,932,863 = 14,932,863 : x
  2. Step 2: Convert to fraction form
    6,332,106/14,932,863 = 14,932,863/x
  3. Step 3: Cross multiply
    6,332,106x = 14,932,863 × 14,932,863
  4. Step 4: Simplify right side
    6,332,106x = 222,990,397,376,769
  5. Step 5: Solve for x
    x = 222,990,397,376,769/6,332,106
  6. Step 6: Final answer
    x = 35,215,834.57

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Why These Related Problems?

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