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Finding the Third Proportional to 5,476,746 and 12,212,768

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Solution

The third proportional to 5,476,746 and 12,212,768 is: 27,233,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476,746 : 12,212,768 = 12,212,768 : x
  2. Step 2: Convert to fraction form
    5,476,746/12,212,768 = 12,212,768/x
  3. Step 3: Cross multiply
    5,476,746x = 12,212,768 × 12,212,768
  4. Step 4: Simplify right side
    5,476,746x = 149,151,702,221,824
  5. Step 5: Solve for x
    x = 149,151,702,221,824/5,476,746
  6. Step 6: Final answer
    x = 27,233,635.12

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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.