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Finding the Third Proportional to 13,745,770 and 20,380,804

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Solution

The third proportional to 13,745,770 and 20,380,804 is: 30,218,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745,770 : 20,380,804 = 20,380,804 : x
  2. Step 2: Convert to fraction form
    13,745,770/20,380,804 = 20,380,804/x
  3. Step 3: Cross multiply
    13,745,770x = 20,380,804 × 20,380,804
  4. Step 4: Simplify right side
    13,745,770x = 415,377,171,686,416
  5. Step 5: Solve for x
    x = 415,377,171,686,416/13,745,770
  6. Step 6: Final answer
    x = 30,218,545.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.