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Finding the Third Proportional to 47,418,787,736 and 103,102,230,976

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Solution

The third proportional to 47,418,787,736 and 103,102,230,976 is: 224,174,225,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,418,787,736 : 103,102,230,976 = 103,102,230,976 : x
  2. Step 2: Convert to fraction form
    47,418,787,736/103,102,230,976 = 103,102,230,976/x
  3. Step 3: Cross multiply
    47,418,787,736x = 103,102,230,976 × 103,102,230,976
  4. Step 4: Simplify right side
    47,418,787,736x = 10,630,070,032,228,453,187,584
  5. Step 5: Solve for x
    x = 10,630,070,032,228,453,187,584/47,418,787,736
  6. Step 6: Final answer
    x = 224,174,225,866.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.