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Finding the Third Proportional to 41,573,129,486 and 97,007,321,123

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Solution

The third proportional to 41,573,129,486 and 97,007,321,123 is: 226,358,238,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573,129,486 : 97,007,321,123 = 97,007,321,123 : x
  2. Step 2: Convert to fraction form
    41,573,129,486/97,007,321,123 = 97,007,321,123/x
  3. Step 3: Cross multiply
    41,573,129,486x = 97,007,321,123 × 97,007,321,123
  4. Step 4: Simplify right side
    41,573,129,486x = 9,410,420,351,460,841,619,456
  5. Step 5: Solve for x
    x = 9,410,420,351,460,841,619,456/41,573,129,486
  6. Step 6: Final answer
    x = 226,358,238,309.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.