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Finding the Third Proportional to 2,879,940,319,486.70 and 4,161,016,430,776.80

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Solution

The third proportional to 2,879,940,319,486.70 and 4,161,016,430,776.80 is: 6,011,950,185,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,940,319,486.70 : 4,161,016,430,776.80 = 4,161,016,430,776.80 : x
  2. Step 2: Convert to fraction form
    2,879,940,319,486.70/4,161,016,430,776.80 = 4,161,016,430,776.80/x
  3. Step 3: Cross multiply
    2,879,940,319,486.70x = 4,161,016,430,776.80 × 4,161,016,430,776.80
  4. Step 4: Simplify right side
    2,879,940,319,486.70x = 17,314,057,737,194,498,030,567,424
  5. Step 5: Solve for x
    x = 17,314,057,737,194,498,030,567,424/2,879,940,319,486.70
  6. Step 6: Final answer
    x = 6,011,950,185,231.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.