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Finding the Third Proportional to 5,476,747 and 12,212,770

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Solution

The third proportional to 5,476,747 and 12,212,770 is: 27,233,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476,747 : 12,212,770 = 12,212,770 : x
  2. Step 2: Convert to fraction form
    5,476,747/12,212,770 = 12,212,770/x
  3. Step 3: Cross multiply
    5,476,747x = 12,212,770 × 12,212,770
  4. Step 4: Simplify right side
    5,476,747x = 149,151,751,072,900
  5. Step 5: Solve for x
    x = 149,151,751,072,900/5,476,747
  6. Step 6: Final answer
    x = 27,233,639.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.