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Finding the Third Proportional to 4,416,414 and 6,646,761

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Solution

The third proportional to 4,416,414 and 6,646,761 is: 10,003,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416,414 : 6,646,761 = 6,646,761 : x
  2. Step 2: Convert to fraction form
    4,416,414/6,646,761 = 6,646,761/x
  3. Step 3: Cross multiply
    4,416,414x = 6,646,761 × 6,646,761
  4. Step 4: Simplify right side
    4,416,414x = 44,179,431,791,121
  5. Step 5: Solve for x
    x = 44,179,431,791,121/4,416,414
  6. Step 6: Final answer
    x = 10,003,462.49

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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.