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Finding the Third Proportional to 11,436,384.94 and 23,481,576

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Solution

The third proportional to 11,436,384.94 and 23,481,576 is: 48,213,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436,384.94 : 23,481,576 = 23,481,576 : x
  2. Step 2: Convert to fraction form
    11,436,384.94/23,481,576 = 23,481,576/x
  3. Step 3: Cross multiply
    11,436,384.94x = 23,481,576 × 23,481,576
  4. Step 4: Simplify right side
    11,436,384.94x = 551,384,411,443,776
  5. Step 5: Solve for x
    x = 551,384,411,443,776/11,436,384.94
  6. Step 6: Final answer
    x = 48,213,173.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.