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Finding the Third Proportional to 7,711,823 and 16,751,182

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Solution

The third proportional to 7,711,823 and 16,751,182 is: 36,385,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711,823 : 16,751,182 = 16,751,182 : x
  2. Step 2: Convert to fraction form
    7,711,823/16,751,182 = 16,751,182/x
  3. Step 3: Cross multiply
    7,711,823x = 16,751,182 × 16,751,182
  4. Step 4: Simplify right side
    7,711,823x = 280,602,098,397,124
  5. Step 5: Solve for x
    x = 280,602,098,397,124/7,711,823
  6. Step 6: Final answer
    x = 36,385,961.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.