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Finding the Third Proportional to 5,451,664 and 11,893,566

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Solution

The third proportional to 5,451,664 and 11,893,566 is: 25,947,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451,664 : 11,893,566 = 11,893,566 : x
  2. Step 2: Convert to fraction form
    5,451,664/11,893,566 = 11,893,566/x
  3. Step 3: Cross multiply
    5,451,664x = 11,893,566 × 11,893,566
  4. Step 4: Simplify right side
    5,451,664x = 141,456,912,196,356
  5. Step 5: Solve for x
    x = 141,456,912,196,356/5,451,664
  6. Step 6: Final answer
    x = 25,947,474.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.