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Finding the Third Proportional to 5,172,414 and 11,240,139

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Solution

The third proportional to 5,172,414 and 11,240,139 is: 24,425,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172,414 : 11,240,139 = 11,240,139 : x
  2. Step 2: Convert to fraction form
    5,172,414/11,240,139 = 11,240,139/x
  3. Step 3: Cross multiply
    5,172,414x = 11,240,139 × 11,240,139
  4. Step 4: Simplify right side
    5,172,414x = 126,340,724,739,321
  5. Step 5: Solve for x
    x = 126,340,724,739,321/5,172,414
  6. Step 6: Final answer
    x = 24,425,872.47

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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.