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Finding the Third Proportional to 24,282,201,656 and 54,147,668,512

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Solution

The third proportional to 24,282,201,656 and 54,147,668,512 is: 120,745,641,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282,201,656 : 54,147,668,512 = 54,147,668,512 : x
  2. Step 2: Convert to fraction form
    24,282,201,656/54,147,668,512 = 54,147,668,512/x
  3. Step 3: Cross multiply
    24,282,201,656x = 54,147,668,512 × 54,147,668,512
  4. Step 4: Simplify right side
    24,282,201,656x = 2,931,970,005,285,436,129,280
  5. Step 5: Solve for x
    x = 2,931,970,005,285,436,129,280/24,282,201,656
  6. Step 6: Final answer
    x = 120,745,641,059.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.