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Finding the Third Proportional to 2,450,109,800 and 3,765,994,732

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Solution

The third proportional to 2,450,109,800 and 3,765,994,732 is: 5,788,604,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450,109,800 : 3,765,994,732 = 3,765,994,732 : x
  2. Step 2: Convert to fraction form
    2,450,109,800/3,765,994,732 = 3,765,994,732/x
  3. Step 3: Cross multiply
    2,450,109,800x = 3,765,994,732 × 3,765,994,732
  4. Step 4: Simplify right side
    2,450,109,800x = 14,182,716,321,451,751,424
  5. Step 5: Solve for x
    x = 14,182,716,321,451,751,424/2,450,109,800
  6. Step 6: Final answer
    x = 5,788,604,380.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.