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Finding the Third Proportional to 682,057,947,592 and 1,467,562,577,536

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Solution

The third proportional to 682,057,947,592 and 1,467,562,577,536 is: 3,157,708,119,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,057,947,592 : 1,467,562,577,536 = 1,467,562,577,536 : x
  2. Step 2: Convert to fraction form
    682,057,947,592/1,467,562,577,536 = 1,467,562,577,536/x
  3. Step 3: Cross multiply
    682,057,947,592x = 1,467,562,577,536 × 1,467,562,577,536
  4. Step 4: Simplify right side
    682,057,947,592x = 2,153,739,918,984,107,918,360,576
  5. Step 5: Solve for x
    x = 2,153,739,918,984,107,918,360,576/682,057,947,592
  6. Step 6: Final answer
    x = 3,157,708,119,358.29

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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.