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Finding the Third Proportional to 2,539,235,556 and 5,502,212,496

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Solution

The third proportional to 2,539,235,556 and 5,502,212,496 is: 11,922,620,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539,235,556 : 5,502,212,496 = 5,502,212,496 : x
  2. Step 2: Convert to fraction form
    2,539,235,556/5,502,212,496 = 5,502,212,496/x
  3. Step 3: Cross multiply
    2,539,235,556x = 5,502,212,496 × 5,502,212,496
  4. Step 4: Simplify right side
    2,539,235,556x = 30,274,342,351,138,549,760
  5. Step 5: Solve for x
    x = 30,274,342,351,138,549,760/2,539,235,556
  6. Step 6: Final answer
    x = 11,922,620,679.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.