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Finding the Third Proportional to 5,395,414 and 11,289,680

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Solution

The third proportional to 5,395,414 and 11,289,680 is: 23,623,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395,414 : 11,289,680 = 11,289,680 : x
  2. Step 2: Convert to fraction form
    5,395,414/11,289,680 = 11,289,680/x
  3. Step 3: Cross multiply
    5,395,414x = 11,289,680 × 11,289,680
  4. Step 4: Simplify right side
    5,395,414x = 127,456,874,502,400
  5. Step 5: Solve for x
    x = 127,456,874,502,400/5,395,414
  6. Step 6: Final answer
    x = 23,623,187.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.