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Finding the Third Proportional to 5,670,170 and 8,534,416

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Solution

The third proportional to 5,670,170 and 8,534,416 is: 12,845,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670,170 : 8,534,416 = 8,534,416 : x
  2. Step 2: Convert to fraction form
    5,670,170/8,534,416 = 8,534,416/x
  3. Step 3: Cross multiply
    5,670,170x = 8,534,416 × 8,534,416
  4. Step 4: Simplify right side
    5,670,170x = 72,836,256,461,056
  5. Step 5: Solve for x
    x = 72,836,256,461,056/5,670,170
  6. Step 6: Final answer
    x = 12,845,515.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.