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Finding the Third Proportional to 1,873,141,584.75 and 4,165,088,049

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Solution

The third proportional to 1,873,141,584.75 and 4,165,088,049 is: 9,261,424,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,141,584.75 : 4,165,088,049 = 4,165,088,049 : x
  2. Step 2: Convert to fraction form
    1,873,141,584.75/4,165,088,049 = 4,165,088,049/x
  3. Step 3: Cross multiply
    1,873,141,584.75x = 4,165,088,049 × 4,165,088,049
  4. Step 4: Simplify right side
    1,873,141,584.75x = 17,347,958,455,922,626,560
  5. Step 5: Solve for x
    x = 17,347,958,455,922,626,560/1,873,141,584.75
  6. Step 6: Final answer
    x = 9,261,424,014.69

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.