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Finding the Third Proportional to 2,330,501,649 and 4,993,419,642

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Solution

The third proportional to 2,330,501,649 and 4,993,419,642 is: 10,699,086,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,501,649 : 4,993,419,642 = 4,993,419,642 : x
  2. Step 2: Convert to fraction form
    2,330,501,649/4,993,419,642 = 4,993,419,642/x
  3. Step 3: Cross multiply
    2,330,501,649x = 4,993,419,642 × 4,993,419,642
  4. Step 4: Simplify right side
    2,330,501,649x = 24,934,239,721,111,408,640
  5. Step 5: Solve for x
    x = 24,934,239,721,111,408,640/2,330,501,649
  6. Step 6: Final answer
    x = 10,699,086,924.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.