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Finding the Third Proportional to 628,743,139,584.75 and 1,367,648,578,352.20

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Solution

The third proportional to 628,743,139,584.75 and 1,367,648,578,352.20 is: 2,974,923,328,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,743,139,584.75 : 1,367,648,578,352.20 = 1,367,648,578,352.20 : x
  2. Step 2: Convert to fraction form
    628,743,139,584.75/1,367,648,578,352.20 = 1,367,648,578,352.20/x
  3. Step 3: Cross multiply
    628,743,139,584.75x = 1,367,648,578,352.20 × 1,367,648,578,352.20
  4. Step 4: Simplify right side
    628,743,139,584.75x = 1,870,462,633,868,793,600,802,816
  5. Step 5: Solve for x
    x = 1,870,462,633,868,793,600,802,816/628,743,139,584.75
  6. Step 6: Final answer
    x = 2,974,923,328,951.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.