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Finding the Third Proportional to 2,524,513.50 and 5,477,031

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Solution

The third proportional to 2,524,513.50 and 5,477,031 is: 11,882,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524,513.50 : 5,477,031 = 5,477,031 : x
  2. Step 2: Convert to fraction form
    2,524,513.50/5,477,031 = 5,477,031/x
  3. Step 3: Cross multiply
    2,524,513.50x = 5,477,031 × 5,477,031
  4. Step 4: Simplify right side
    2,524,513.50x = 29,997,868,574,961
  5. Step 5: Solve for x
    x = 29,997,868,574,961/2,524,513.50
  6. Step 6: Final answer
    x = 11,882,633.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.