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Finding the Third Proportional to 7,937,307 and 17,388,009

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Solution

The third proportional to 7,937,307 and 17,388,009 is: 38,091,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937,307 : 17,388,009 = 17,388,009 : x
  2. Step 2: Convert to fraction form
    7,937,307/17,388,009 = 17,388,009/x
  3. Step 3: Cross multiply
    7,937,307x = 17,388,009 × 17,388,009
  4. Step 4: Simplify right side
    7,937,307x = 302,342,856,984,081
  5. Step 5: Solve for x
    x = 302,342,856,984,081/7,937,307
  6. Step 6: Final answer
    x = 38,091,364.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.