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Finding the Third Proportional to 5,321,648 and 11,673,440

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Solution

The third proportional to 5,321,648 and 11,673,440 is: 25,606,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,648 : 11,673,440 = 11,673,440 : x
  2. Step 2: Convert to fraction form
    5,321,648/11,673,440 = 11,673,440/x
  3. Step 3: Cross multiply
    5,321,648x = 11,673,440 × 11,673,440
  4. Step 4: Simplify right side
    5,321,648x = 136,269,201,433,600
  5. Step 5: Solve for x
    x = 136,269,201,433,600/5,321,648
  6. Step 6: Final answer
    x = 25,606,579.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.