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Finding the Third Proportional to 441,671,382 and 929,033,568

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Solution

The third proportional to 441,671,382 and 929,033,568 is: 1,954,175,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,671,382 : 929,033,568 = 929,033,568 : x
  2. Step 2: Convert to fraction form
    441,671,382/929,033,568 = 929,033,568/x
  3. Step 3: Cross multiply
    441,671,382x = 929,033,568 × 929,033,568
  4. Step 4: Simplify right side
    441,671,382x = 863,103,370,470,810,624
  5. Step 5: Solve for x
    x = 863,103,370,470,810,624/441,671,382
  6. Step 6: Final answer
    x = 1,954,175,447.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.