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Finding the Third Proportional to 5,306,996 and 11,371,241

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Solution

The third proportional to 5,306,996 and 11,371,241 is: 24,365,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,996 : 11,371,241 = 11,371,241 : x
  2. Step 2: Convert to fraction form
    5,306,996/11,371,241 = 11,371,241/x
  3. Step 3: Cross multiply
    5,306,996x = 11,371,241 × 11,371,241
  4. Step 4: Simplify right side
    5,306,996x = 129,305,121,880,081
  5. Step 5: Solve for x
    x = 129,305,121,880,081/5,306,996
  6. Step 6: Final answer
    x = 24,365,030.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.