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Finding the Third Proportional to 7,975,732 and 17,297,576

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Solution

The third proportional to 7,975,732 and 17,297,576 is: 37,514,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,732 : 17,297,576 = 17,297,576 : x
  2. Step 2: Convert to fraction form
    7,975,732/17,297,576 = 17,297,576/x
  3. Step 3: Cross multiply
    7,975,732x = 17,297,576 × 17,297,576
  4. Step 4: Simplify right side
    7,975,732x = 299,206,135,475,776
  5. Step 5: Solve for x
    x = 299,206,135,475,776/7,975,732
  6. Step 6: Final answer
    x = 37,514,567.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.