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Finding the Third Proportional to 41,226,021 and 85,843,123

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Solution

The third proportional to 41,226,021 and 85,843,123 is: 178,747,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226,021 : 85,843,123 = 85,843,123 : x
  2. Step 2: Convert to fraction form
    41,226,021/85,843,123 = 85,843,123/x
  3. Step 3: Cross multiply
    41,226,021x = 85,843,123 × 85,843,123
  4. Step 4: Simplify right side
    41,226,021x = 7,369,041,766,393,129
  5. Step 5: Solve for x
    x = 7,369,041,766,393,129/41,226,021
  6. Step 6: Final answer
    x = 178,747,344.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.