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Finding the Third Proportional to 4,949,927 and 7,876,383

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Solution

The third proportional to 4,949,927 and 7,876,383 is: 12,532,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949,927 : 7,876,383 = 7,876,383 : x
  2. Step 2: Convert to fraction form
    4,949,927/7,876,383 = 7,876,383/x
  3. Step 3: Cross multiply
    4,949,927x = 7,876,383 × 7,876,383
  4. Step 4: Simplify right side
    4,949,927x = 62,037,409,162,689
  5. Step 5: Solve for x
    x = 62,037,409,162,689/4,949,927
  6. Step 6: Final answer
    x = 12,532,994.76

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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.