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Finding the Third Proportional to 7,879,496 and 17,253,670

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Solution

The third proportional to 7,879,496 and 17,253,670 is: 37,780,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879,496 : 17,253,670 = 17,253,670 : x
  2. Step 2: Convert to fraction form
    7,879,496/17,253,670 = 17,253,670/x
  3. Step 3: Cross multiply
    7,879,496x = 17,253,670 × 17,253,670
  4. Step 4: Simplify right side
    7,879,496x = 297,689,128,468,900
  5. Step 5: Solve for x
    x = 297,689,128,468,900/7,879,496
  6. Step 6: Final answer
    x = 37,780,224.58

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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.