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Finding the Third Proportional to 7,879,574 and 17,253,826

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Solution

The third proportional to 7,879,574 and 17,253,826 is: 37,780,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879,574 : 17,253,826 = 17,253,826 : x
  2. Step 2: Convert to fraction form
    7,879,574/17,253,826 = 17,253,826/x
  3. Step 3: Cross multiply
    7,879,574x = 17,253,826 × 17,253,826
  4. Step 4: Simplify right side
    7,879,574x = 297,694,511,638,276
  5. Step 5: Solve for x
    x = 297,694,511,638,276/7,879,574
  6. Step 6: Final answer
    x = 37,780,533.77

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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.