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Finding the Third Proportional to 7,167,574,469 and 9,965,939,375

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Solution

The third proportional to 7,167,574,469 and 9,965,939,375 is: 13,856,842,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167,574,469 : 9,965,939,375 = 9,965,939,375 : x
  2. Step 2: Convert to fraction form
    7,167,574,469/9,965,939,375 = 9,965,939,375/x
  3. Step 3: Cross multiply
    7,167,574,469x = 9,965,939,375 × 9,965,939,375
  4. Step 4: Simplify right side
    7,167,574,469x = 99,319,947,626,175,397,888
  5. Step 5: Solve for x
    x = 99,319,947,626,175,397,888/7,167,574,469
  6. Step 6: Final answer
    x = 13,856,842,095.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.