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Finding the Third Proportional to 57,273,702,716 and 116,180,494,101

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Solution

The third proportional to 57,273,702,716 and 116,180,494,101 is: 235,673,731,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,273,702,716 : 116,180,494,101 = 116,180,494,101 : x
  2. Step 2: Convert to fraction form
    57,273,702,716/116,180,494,101 = 116,180,494,101/x
  3. Step 3: Cross multiply
    57,273,702,716x = 116,180,494,101 × 116,180,494,101
  4. Step 4: Simplify right side
    57,273,702,716x = 13,497,907,209,552,495,902,720
  5. Step 5: Solve for x
    x = 13,497,907,209,552,495,902,720/57,273,702,716
  6. Step 6: Final answer
    x = 235,673,731,039.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.