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Finding the Third Proportional to 9,303,146 and 19,733,234

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Solution

The third proportional to 9,303,146 and 19,733,234 is: 41,856,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303,146 : 19,733,234 = 19,733,234 : x
  2. Step 2: Convert to fraction form
    9,303,146/19,733,234 = 19,733,234/x
  3. Step 3: Cross multiply
    9,303,146x = 19,733,234 × 19,733,234
  4. Step 4: Simplify right side
    9,303,146x = 389,400,524,098,756
  5. Step 5: Solve for x
    x = 389,400,524,098,756/9,303,146
  6. Step 6: Final answer
    x = 41,856,864.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.