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Finding the Third Proportional to 6,179,608 and 9,048,192

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Solution

The third proportional to 6,179,608 and 9,048,192 is: 13,248,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179,608 : 9,048,192 = 9,048,192 : x
  2. Step 2: Convert to fraction form
    6,179,608/9,048,192 = 9,048,192/x
  3. Step 3: Cross multiply
    6,179,608x = 9,048,192 × 9,048,192
  4. Step 4: Simplify right side
    6,179,608x = 81,869,778,468,864
  5. Step 5: Solve for x
    x = 81,869,778,468,864/6,179,608
  6. Step 6: Final answer
    x = 13,248,377.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.