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Finding the Third Proportional to 763,308,880 and 1,661,779,286

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Solution

The third proportional to 763,308,880 and 1,661,779,286 is: 3,617,815,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,308,880 : 1,661,779,286 = 1,661,779,286 : x
  2. Step 2: Convert to fraction form
    763,308,880/1,661,779,286 = 1,661,779,286/x
  3. Step 3: Cross multiply
    763,308,880x = 1,661,779,286 × 1,661,779,286
  4. Step 4: Simplify right side
    763,308,880x = 2,761,510,395,378,669,568
  5. Step 5: Solve for x
    x = 2,761,510,395,378,669,568/763,308,880
  6. Step 6: Final answer
    x = 3,617,815,104.39

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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.