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Finding the Third Proportional to 682,057,947,582 and 1,467,562,577,517

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Solution

The third proportional to 682,057,947,582 and 1,467,562,577,517 is: 3,157,708,119,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,057,947,582 : 1,467,562,577,517 = 1,467,562,577,517 : x
  2. Step 2: Convert to fraction form
    682,057,947,582/1,467,562,577,517 = 1,467,562,577,517/x
  3. Step 3: Cross multiply
    682,057,947,582x = 1,467,562,577,517 × 1,467,562,577,517
  4. Step 4: Simplify right side
    682,057,947,582x = 2,153,739,918,928,340,720,812,032
  5. Step 5: Solve for x
    x = 2,153,739,918,928,340,720,812,032/682,057,947,582
  6. Step 6: Final answer
    x = 3,157,708,119,322.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.