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Finding the Third Proportional to 5,363,982 and 11,642,616

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Solution

The third proportional to 5,363,982 and 11,642,616 is: 25,270,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363,982 : 11,642,616 = 11,642,616 : x
  2. Step 2: Convert to fraction form
    5,363,982/11,642,616 = 11,642,616/x
  3. Step 3: Cross multiply
    5,363,982x = 11,642,616 × 11,642,616
  4. Step 4: Simplify right side
    5,363,982x = 135,550,507,323,456
  5. Step 5: Solve for x
    x = 135,550,507,323,456/5,363,982
  6. Step 6: Final answer
    x = 25,270,500.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.