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Finding the Third Proportional to 11,228,960 and 24,696,896

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Solution

The third proportional to 11,228,960 and 24,696,896 is: 54,318,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228,960 : 24,696,896 = 24,696,896 : x
  2. Step 2: Convert to fraction form
    11,228,960/24,696,896 = 24,696,896/x
  3. Step 3: Cross multiply
    11,228,960x = 24,696,896 × 24,696,896
  4. Step 4: Simplify right side
    11,228,960x = 609,936,672,034,816
  5. Step 5: Solve for x
    x = 609,936,672,034,816/11,228,960
  6. Step 6: Final answer
    x = 54,318,180.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.