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Finding the Third Proportional to 5,172,420 and 11,240,151

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Solution

The third proportional to 5,172,420 and 11,240,151 is: 24,425,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172,420 : 11,240,151 = 11,240,151 : x
  2. Step 2: Convert to fraction form
    5,172,420/11,240,151 = 11,240,151/x
  3. Step 3: Cross multiply
    5,172,420x = 11,240,151 × 11,240,151
  4. Step 4: Simplify right side
    5,172,420x = 126,340,994,502,801
  5. Step 5: Solve for x
    x = 126,340,994,502,801/5,172,420
  6. Step 6: Final answer
    x = 24,425,896.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.