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Finding the Third Proportional to 438,763,212,069 and 617,875,288,578

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Solution

The third proportional to 438,763,212,069 and 617,875,288,578 is: 870,104,561,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,763,212,069 : 617,875,288,578 = 617,875,288,578 : x
  2. Step 2: Convert to fraction form
    438,763,212,069/617,875,288,578 = 617,875,288,578/x
  3. Step 3: Cross multiply
    438,763,212,069x = 617,875,288,578 × 617,875,288,578
  4. Step 4: Simplify right side
    438,763,212,069x = 381,769,872,235,346,765,283,328
  5. Step 5: Solve for x
    x = 381,769,872,235,346,765,283,328/438,763,212,069
  6. Step 6: Final answer
    x = 870,104,561,490.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.