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Finding the Third Proportional to 7,120,544 and 11,032,647

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Solution

The third proportional to 7,120,544 and 11,032,647 is: 17,094,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120,544 : 11,032,647 = 11,032,647 : x
  2. Step 2: Convert to fraction form
    7,120,544/11,032,647 = 11,032,647/x
  3. Step 3: Cross multiply
    7,120,544x = 11,032,647 × 11,032,647
  4. Step 4: Simplify right side
    7,120,544x = 121,719,299,826,609
  5. Step 5: Solve for x
    x = 121,719,299,826,609/7,120,544
  6. Step 6: Final answer
    x = 17,094,101.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.