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Finding the Third Proportional to 7,975,752 and 17,297,616

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Solution

The third proportional to 7,975,752 and 17,297,616 is: 37,514,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,752 : 17,297,616 = 17,297,616 : x
  2. Step 2: Convert to fraction form
    7,975,752/17,297,616 = 17,297,616/x
  3. Step 3: Cross multiply
    7,975,752x = 17,297,616 × 17,297,616
  4. Step 4: Simplify right side
    7,975,752x = 299,207,519,283,456
  5. Step 5: Solve for x
    x = 299,207,519,283,456/7,975,752
  6. Step 6: Final answer
    x = 37,514,646.80

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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.