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Finding the Third Proportional to 8,480,625 and 13,507,650

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Solution

The third proportional to 8,480,625 and 13,507,650 is: 21,514,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480,625 : 13,507,650 = 13,507,650 : x
  2. Step 2: Convert to fraction form
    8,480,625/13,507,650 = 13,507,650/x
  3. Step 3: Cross multiply
    8,480,625x = 13,507,650 × 13,507,650
  4. Step 4: Simplify right side
    8,480,625x = 182,456,608,522,500
  5. Step 5: Solve for x
    x = 182,456,608,522,500/8,480,625
  6. Step 6: Final answer
    x = 21,514,523.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.