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Finding the Third Proportional to 5,863,314 and 8,969,343

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Solution

The third proportional to 5,863,314 and 8,969,343 is: 13,720,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863,314 : 8,969,343 = 8,969,343 : x
  2. Step 2: Convert to fraction form
    5,863,314/8,969,343 = 8,969,343/x
  3. Step 3: Cross multiply
    5,863,314x = 8,969,343 × 8,969,343
  4. Step 4: Simplify right side
    5,863,314x = 80,449,113,851,649
  5. Step 5: Solve for x
    x = 80,449,113,851,649/5,863,314
  6. Step 6: Final answer
    x = 13,720,758.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.