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Finding the Third Proportional to 11,923,776 and 25,863,964

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Solution

The third proportional to 11,923,776 and 25,863,964 is: 56,101,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923,776 : 25,863,964 = 25,863,964 : x
  2. Step 2: Convert to fraction form
    11,923,776/25,863,964 = 25,863,964/x
  3. Step 3: Cross multiply
    11,923,776x = 25,863,964 × 25,863,964
  4. Step 4: Simplify right side
    11,923,776x = 668,944,633,793,296
  5. Step 5: Solve for x
    x = 668,944,633,793,296/11,923,776
  6. Step 6: Final answer
    x = 56,101,744.43

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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.