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Finding the Third Proportional to 39,108,782 and 57,464,529

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Solution

The third proportional to 39,108,782 and 57,464,529 is: 84,435,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,108,782 : 57,464,529 = 57,464,529 : x
  2. Step 2: Convert to fraction form
    39,108,782/57,464,529 = 57,464,529/x
  3. Step 3: Cross multiply
    39,108,782x = 57,464,529 × 57,464,529
  4. Step 4: Simplify right side
    39,108,782x = 3,302,172,093,191,841
  5. Step 5: Solve for x
    x = 3,302,172,093,191,841/39,108,782
  6. Step 6: Final answer
    x = 84,435,564.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.