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Finding the Third Proportional to 226,206,624,576 and 337,348,299,435

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Solution

The third proportional to 226,206,624,576 and 337,348,299,435 is: 503,097,004,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,206,624,576 : 337,348,299,435 = 337,348,299,435 : x
  2. Step 2: Convert to fraction form
    226,206,624,576/337,348,299,435 = 337,348,299,435/x
  3. Step 3: Cross multiply
    226,206,624,576x = 337,348,299,435 × 337,348,299,435
  4. Step 4: Simplify right side
    226,206,624,576x = 113,803,875,131,686,419,169,280
  5. Step 5: Solve for x
    x = 113,803,875,131,686,419,169,280/226,206,624,576
  6. Step 6: Final answer
    x = 503,097,004,099.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.