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Finding the Third Proportional to 2,549,976 and 5,510,982

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Solution

The third proportional to 2,549,976 and 5,510,982 is: 11,910,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549,976 : 5,510,982 = 5,510,982 : x
  2. Step 2: Convert to fraction form
    2,549,976/5,510,982 = 5,510,982/x
  3. Step 3: Cross multiply
    2,549,976x = 5,510,982 × 5,510,982
  4. Step 4: Simplify right side
    2,549,976x = 30,370,922,604,324
  5. Step 5: Solve for x
    x = 30,370,922,604,324/2,549,976
  6. Step 6: Final answer
    x = 11,910,277.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.