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Finding the Third Proportional to 24,213,084,656 and 34,082,500,652

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Solution

The third proportional to 24,213,084,656 and 34,082,500,652 is: 47,974,756,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213,084,656 : 34,082,500,652 = 34,082,500,652 : x
  2. Step 2: Convert to fraction form
    24,213,084,656/34,082,500,652 = 34,082,500,652/x
  3. Step 3: Cross multiply
    24,213,084,656x = 34,082,500,652 × 34,082,500,652
  4. Step 4: Simplify right side
    24,213,084,656x = 1,161,616,850,693,580,390,400
  5. Step 5: Solve for x
    x = 1,161,616,850,693,580,390,400/24,213,084,656
  6. Step 6: Final answer
    x = 47,974,756,921.59

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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.