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Finding the Third Proportional to 12,198,741 and 25,655,502

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Solution

The third proportional to 12,198,741 and 25,655,502 is: 53,956,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198,741 : 25,655,502 = 25,655,502 : x
  2. Step 2: Convert to fraction form
    12,198,741/25,655,502 = 25,655,502/x
  3. Step 3: Cross multiply
    12,198,741x = 25,655,502 × 25,655,502
  4. Step 4: Simplify right side
    12,198,741x = 658,204,782,872,004
  5. Step 5: Solve for x
    x = 658,204,782,872,004/12,198,741
  6. Step 6: Final answer
    x = 53,956,779.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.