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Finding the Third Proportional to 9,650,270 and 20,783,326

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Solution

The third proportional to 9,650,270 and 20,783,326 is: 44,760,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650,270 : 20,783,326 = 20,783,326 : x
  2. Step 2: Convert to fraction form
    9,650,270/20,783,326 = 20,783,326/x
  3. Step 3: Cross multiply
    9,650,270x = 20,783,326 × 20,783,326
  4. Step 4: Simplify right side
    9,650,270x = 431,946,639,622,276
  5. Step 5: Solve for x
    x = 431,946,639,622,276/9,650,270
  6. Step 6: Final answer
    x = 44,760,057.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.