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Finding the Third Proportional to 5,171,250 and 10,490,241

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Solution

The third proportional to 5,171,250 and 10,490,241 is: 21,280,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171,250 : 10,490,241 = 10,490,241 : x
  2. Step 2: Convert to fraction form
    5,171,250/10,490,241 = 10,490,241/x
  3. Step 3: Cross multiply
    5,171,250x = 10,490,241 × 10,490,241
  4. Step 4: Simplify right side
    5,171,250x = 110,045,156,238,081
  5. Step 5: Solve for x
    x = 110,045,156,238,081/5,171,250
  6. Step 6: Final answer
    x = 21,280,184.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.