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Finding the Third Proportional to 381,237,616 and 832,389,568

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Solution

The third proportional to 381,237,616 and 832,389,568 is: 1,817,429,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,237,616 : 832,389,568 = 832,389,568 : x
  2. Step 2: Convert to fraction form
    381,237,616/832,389,568 = 832,389,568/x
  3. Step 3: Cross multiply
    381,237,616x = 832,389,568 × 832,389,568
  4. Step 4: Simplify right side
    381,237,616x = 692,872,392,915,226,624
  5. Step 5: Solve for x
    x = 692,872,392,915,226,624/381,237,616
  6. Step 6: Final answer
    x = 1,817,429,245.79

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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.