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Finding the Third Proportional to 5,172,426 and 11,240,163

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Solution

The third proportional to 5,172,426 and 11,240,163 is: 24,425,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172,426 : 11,240,163 = 11,240,163 : x
  2. Step 2: Convert to fraction form
    5,172,426/11,240,163 = 11,240,163/x
  3. Step 3: Cross multiply
    5,172,426x = 11,240,163 × 11,240,163
  4. Step 4: Simplify right side
    5,172,426x = 126,341,264,266,569
  5. Step 5: Solve for x
    x = 126,341,264,266,569/5,172,426
  6. Step 6: Final answer
    x = 24,425,920.11

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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.