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Finding the Third Proportional to 454,876,717.50 and 982,382,259

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Solution

The third proportional to 454,876,717.50 and 982,382,259 is: 2,121,618,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,876,717.50 : 982,382,259 = 982,382,259 : x
  2. Step 2: Convert to fraction form
    454,876,717.50/982,382,259 = 982,382,259/x
  3. Step 3: Cross multiply
    454,876,717.50x = 982,382,259 × 982,382,259
  4. Step 4: Simplify right side
    454,876,717.50x = 965,074,902,797,943,040
  5. Step 5: Solve for x
    x = 965,074,902,797,943,040/454,876,717.50
  6. Step 6: Final answer
    x = 2,121,618,596.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.