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Finding the Third Proportional to 8,422,323 and 12,577,350

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Solution

The third proportional to 8,422,323 and 12,577,350 is: 18,782,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422,323 : 12,577,350 = 12,577,350 : x
  2. Step 2: Convert to fraction form
    8,422,323/12,577,350 = 12,577,350/x
  3. Step 3: Cross multiply
    8,422,323x = 12,577,350 × 12,577,350
  4. Step 4: Simplify right side
    8,422,323x = 158,189,733,022,500
  5. Step 5: Solve for x
    x = 158,189,733,022,500/8,422,323
  6. Step 6: Final answer
    x = 18,782,197.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.