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Finding the Third Proportional to 744,568,821 and 1,636,838,874

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Solution

The third proportional to 744,568,821 and 1,636,838,874 is: 3,598,379,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,568,821 : 1,636,838,874 = 1,636,838,874 : x
  2. Step 2: Convert to fraction form
    744,568,821/1,636,838,874 = 1,636,838,874/x
  3. Step 3: Cross multiply
    744,568,821x = 1,636,838,874 × 1,636,838,874
  4. Step 4: Simplify right side
    744,568,821x = 2,679,241,499,437,587,968
  5. Step 5: Solve for x
    x = 2,679,241,499,437,587,968/744,568,821
  6. Step 6: Final answer
    x = 3,598,379,926.57

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Why These Related Problems?

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