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Finding the Third Proportional to 5,746,409 and 12,501,727

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Solution

The third proportional to 5,746,409 and 12,501,727 is: 27,198,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,409 : 12,501,727 = 12,501,727 : x
  2. Step 2: Convert to fraction form
    5,746,409/12,501,727 = 12,501,727/x
  3. Step 3: Cross multiply
    5,746,409x = 12,501,727 × 12,501,727
  4. Step 4: Simplify right side
    5,746,409x = 156,293,177,982,529
  5. Step 5: Solve for x
    x = 156,293,177,982,529/5,746,409
  6. Step 6: Final answer
    x = 27,198,408.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.