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Finding the Third Proportional to 24,213,084,651 and 34,082,500,647

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Solution

The third proportional to 24,213,084,651 and 34,082,500,647 is: 47,974,756,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213,084,651 : 34,082,500,647 = 34,082,500,647 : x
  2. Step 2: Convert to fraction form
    24,213,084,651/34,082,500,647 = 34,082,500,647/x
  3. Step 3: Cross multiply
    24,213,084,651x = 34,082,500,647 × 34,082,500,647
  4. Step 4: Simplify right side
    24,213,084,651x = 1,161,616,850,352,755,441,664
  5. Step 5: Solve for x
    x = 1,161,616,850,352,755,441,664/24,213,084,651
  6. Step 6: Final answer
    x = 47,974,756,917.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.