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Finding the Third Proportional to 29,524,406 and 39,745,737

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Solution

The third proportional to 29,524,406 and 39,745,737 is: 53,505,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524,406 : 39,745,737 = 39,745,737 : x
  2. Step 2: Convert to fraction form
    29,524,406/39,745,737 = 39,745,737/x
  3. Step 3: Cross multiply
    29,524,406x = 39,745,737 × 39,745,737
  4. Step 4: Simplify right side
    29,524,406x = 1,579,723,609,673,169
  5. Step 5: Solve for x
    x = 1,579,723,609,673,169/29,524,406
  6. Step 6: Final answer
    x = 53,505,686.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.