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Finding the Third Proportional to 24,855,277,164 and 54,522,664,004

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Solution

The third proportional to 24,855,277,164 and 54,522,664,004 is: 119,601,196,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855,277,164 : 54,522,664,004 = 54,522,664,004 : x
  2. Step 2: Convert to fraction form
    24,855,277,164/54,522,664,004 = 54,522,664,004/x
  3. Step 3: Cross multiply
    24,855,277,164x = 54,522,664,004 × 54,522,664,004
  4. Step 4: Simplify right side
    24,855,277,164x = 2,972,720,890,093,077,266,432
  5. Step 5: Solve for x
    x = 2,972,720,890,093,077,266,432/24,855,277,164
  6. Step 6: Final answer
    x = 119,601,196,578.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.