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Finding the Third Proportional to 7,975,760 and 17,297,632

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Solution

The third proportional to 7,975,760 and 17,297,632 is: 37,514,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,760 : 17,297,632 = 17,297,632 : x
  2. Step 2: Convert to fraction form
    7,975,760/17,297,632 = 17,297,632/x
  3. Step 3: Cross multiply
    7,975,760x = 17,297,632 × 17,297,632
  4. Step 4: Simplify right side
    7,975,760x = 299,208,072,807,424
  5. Step 5: Solve for x
    x = 299,208,072,807,424/7,975,760
  6. Step 6: Final answer
    x = 37,514,678.58

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