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Finding the Third Proportional to 7,975,764 and 17,297,640

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Solution

The third proportional to 7,975,764 and 17,297,640 is: 37,514,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,764 : 17,297,640 = 17,297,640 : x
  2. Step 2: Convert to fraction form
    7,975,764/17,297,640 = 17,297,640/x
  3. Step 3: Cross multiply
    7,975,764x = 17,297,640 × 17,297,640
  4. Step 4: Simplify right side
    7,975,764x = 299,208,349,569,600
  5. Step 5: Solve for x
    x = 299,208,349,569,600/7,975,764
  6. Step 6: Final answer
    x = 37,514,694.46

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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.