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Finding the Third Proportional to 5,052,815 and 7,766,621

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Solution

The third proportional to 5,052,815 and 7,766,621 is: 11,937,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052,815 : 7,766,621 = 7,766,621 : x
  2. Step 2: Convert to fraction form
    5,052,815/7,766,621 = 7,766,621/x
  3. Step 3: Cross multiply
    5,052,815x = 7,766,621 × 7,766,621
  4. Step 4: Simplify right side
    5,052,815x = 60,320,401,757,641
  5. Step 5: Solve for x
    x = 60,320,401,757,641/5,052,815
  6. Step 6: Final answer
    x = 11,937,979.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.