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Finding the Third Proportional to 11,038,052,326,802 and 24,019,768,885,922

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Solution

The third proportional to 11,038,052,326,802 and 24,019,768,885,922 is: 52,269,121,422,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038,052,326,802 : 24,019,768,885,922 = 24,019,768,885,922 : x
  2. Step 2: Convert to fraction form
    11,038,052,326,802/24,019,768,885,922 = 24,019,768,885,922/x
  3. Step 3: Cross multiply
    11,038,052,326,802x = 24,019,768,885,922 × 24,019,768,885,922
  4. Step 4: Simplify right side
    11,038,052,326,802x = 576,949,297,333,106,626,583,855,104
  5. Step 5: Solve for x
    x = 576,949,297,333,106,626,583,855,104/11,038,052,326,802
  6. Step 6: Final answer
    x = 52,269,121,422,099.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.