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Finding the Third Proportional to 24,855,277,230 and 54,522,664,128

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Solution

The third proportional to 24,855,277,230 and 54,522,664,128 is: 119,601,196,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855,277,230 : 54,522,664,128 = 54,522,664,128 : x
  2. Step 2: Convert to fraction form
    24,855,277,230/54,522,664,128 = 54,522,664,128/x
  3. Step 3: Cross multiply
    24,855,277,230x = 54,522,664,128 × 54,522,664,128
  4. Step 4: Simplify right side
    24,855,277,230x = 2,972,720,903,614,698,094,592
  5. Step 5: Solve for x
    x = 2,972,720,903,614,698,094,592/24,855,277,230
  6. Step 6: Final answer
    x = 119,601,196,804.46

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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.