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Finding the Third Proportional to 8,313,576 and 19,424,264

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Solution

The third proportional to 8,313,576 and 19,424,264 is: 45,383,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313,576 : 19,424,264 = 19,424,264 : x
  2. Step 2: Convert to fraction form
    8,313,576/19,424,264 = 19,424,264/x
  3. Step 3: Cross multiply
    8,313,576x = 19,424,264 × 19,424,264
  4. Step 4: Simplify right side
    8,313,576x = 377,302,031,941,696
  5. Step 5: Solve for x
    x = 377,302,031,941,696/8,313,576
  6. Step 6: Final answer
    x = 45,383,843.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.