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Finding the Third Proportional to 7,524,878 and 11,355,158

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Solution

The third proportional to 7,524,878 and 11,355,158 is: 17,135,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524,878 : 11,355,158 = 11,355,158 : x
  2. Step 2: Convert to fraction form
    7,524,878/11,355,158 = 11,355,158/x
  3. Step 3: Cross multiply
    7,524,878x = 11,355,158 × 11,355,158
  4. Step 4: Simplify right side
    7,524,878x = 128,939,613,204,964
  5. Step 5: Solve for x
    x = 128,939,613,204,964/7,524,878
  6. Step 6: Final answer
    x = 17,135,110.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.