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Finding the Third Proportional to 14,041,469 and 19,715,565

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Solution

The third proportional to 14,041,469 and 19,715,565 is: 27,682,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041,469 : 19,715,565 = 19,715,565 : x
  2. Step 2: Convert to fraction form
    14,041,469/19,715,565 = 19,715,565/x
  3. Step 3: Cross multiply
    14,041,469x = 19,715,565 × 19,715,565
  4. Step 4: Simplify right side
    14,041,469x = 388,703,503,269,225
  5. Step 5: Solve for x
    x = 388,703,503,269,225/14,041,469
  6. Step 6: Final answer
    x = 27,682,538.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.