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Finding the Third Proportional to 13,307,664 and 27,097,692

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Solution

The third proportional to 13,307,664 and 27,097,692 is: 55,177,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307,664 : 27,097,692 = 27,097,692 : x
  2. Step 2: Convert to fraction form
    13,307,664/27,097,692 = 27,097,692/x
  3. Step 3: Cross multiply
    13,307,664x = 27,097,692 × 27,097,692
  4. Step 4: Simplify right side
    13,307,664x = 734,284,911,726,864
  5. Step 5: Solve for x
    x = 734,284,911,726,864/13,307,664
  6. Step 6: Final answer
    x = 55,177,596.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.