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Finding the Third Proportional to 52,850,785 and 80,855,601

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Solution

The third proportional to 52,850,785 and 80,855,601 is: 123,699,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,850,785 : 80,855,601 = 80,855,601 : x
  2. Step 2: Convert to fraction form
    52,850,785/80,855,601 = 80,855,601/x
  3. Step 3: Cross multiply
    52,850,785x = 80,855,601 × 80,855,601
  4. Step 4: Simplify right side
    52,850,785x = 6,537,628,213,071,201
  5. Step 5: Solve for x
    x = 6,537,628,213,071,201/52,850,785
  6. Step 6: Final answer
    x = 123,699,737.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.