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Finding the Third Proportional to 6,175,928 and 13,608,352

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Solution

The third proportional to 6,175,928 and 13,608,352 is: 29,985,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,928 : 13,608,352 = 13,608,352 : x
  2. Step 2: Convert to fraction form
    6,175,928/13,608,352 = 13,608,352/x
  3. Step 3: Cross multiply
    6,175,928x = 13,608,352 × 13,608,352
  4. Step 4: Simplify right side
    6,175,928x = 185,187,244,155,904
  5. Step 5: Solve for x
    x = 185,187,244,155,904/6,175,928
  6. Step 6: Final answer
    x = 29,985,330.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.