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Finding the Third Proportional to 9,251,435 and 13,561,569

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Solution

The third proportional to 9,251,435 and 13,561,569 is: 19,879,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251,435 : 13,561,569 = 13,561,569 : x
  2. Step 2: Convert to fraction form
    9,251,435/13,561,569 = 13,561,569/x
  3. Step 3: Cross multiply
    9,251,435x = 13,561,569 × 13,561,569
  4. Step 4: Simplify right side
    9,251,435x = 183,916,153,741,761
  5. Step 5: Solve for x
    x = 183,916,153,741,761/9,251,435
  6. Step 6: Final answer
    x = 19,879,743.38

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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.