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Finding the Third Proportional to 7,946,976 and 16,613,472

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Solution

The third proportional to 7,946,976 and 16,613,472 is: 34,731,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,976 : 16,613,472 = 16,613,472 : x
  2. Step 2: Convert to fraction form
    7,946,976/16,613,472 = 16,613,472/x
  3. Step 3: Cross multiply
    7,946,976x = 16,613,472 × 16,613,472
  4. Step 4: Simplify right side
    7,946,976x = 276,007,451,894,784
  5. Step 5: Solve for x
    x = 276,007,451,894,784/7,946,976
  6. Step 6: Final answer
    x = 34,731,129.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.