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Finding the Third Proportional to 11,046,896 and 24,005,966

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Solution

The third proportional to 11,046,896 and 24,005,966 is: 52,167,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046,896 : 24,005,966 = 24,005,966 : x
  2. Step 2: Convert to fraction form
    11,046,896/24,005,966 = 24,005,966/x
  3. Step 3: Cross multiply
    11,046,896x = 24,005,966 × 24,005,966
  4. Step 4: Simplify right side
    11,046,896x = 576,286,403,593,156
  5. Step 5: Solve for x
    x = 576,286,403,593,156/11,046,896
  6. Step 6: Final answer
    x = 52,167,269.76

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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.