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Finding the Third Proportional to 598,409,017,682 and 1,316,498,382,244

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Solution

The third proportional to 598,409,017,682 and 1,316,498,382,244 is: 2,896,293,236,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,409,017,682 : 1,316,498,382,244 = 1,316,498,382,244 : x
  2. Step 2: Convert to fraction form
    598,409,017,682/1,316,498,382,244 = 1,316,498,382,244/x
  3. Step 3: Cross multiply
    598,409,017,682x = 1,316,498,382,244 × 1,316,498,382,244
  4. Step 4: Simplify right side
    598,409,017,682x = 1,733,167,990,451,069,092,102,144
  5. Step 5: Solve for x
    x = 1,733,167,990,451,069,092,102,144/598,409,017,682
  6. Step 6: Final answer
    x = 2,896,293,236,296.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.