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Finding the Third Proportional to 24,855,277,152 and 54,522,663,980.25

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Solution

The third proportional to 24,855,277,152 and 54,522,663,980.25 is: 119,601,196,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855,277,152 : 54,522,663,980.25 = 54,522,663,980.25 : x
  2. Step 2: Convert to fraction form
    24,855,277,152/54,522,663,980.25 = 54,522,663,980.25/x
  3. Step 3: Cross multiply
    24,855,277,152x = 54,522,663,980.25 × 54,522,663,980.25
  4. Step 4: Simplify right side
    24,855,277,152x = 2,972,720,887,503,250,784,256
  5. Step 5: Solve for x
    x = 2,972,720,887,503,250,784,256/24,855,277,152
  6. Step 6: Final answer
    x = 119,601,196,531.58

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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.