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Finding the Third Proportional to 14,469,843 and 31,455,654

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Solution

The third proportional to 14,469,843 and 31,455,654 is: 68,380,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469,843 : 31,455,654 = 31,455,654 : x
  2. Step 2: Convert to fraction form
    14,469,843/31,455,654 = 31,455,654/x
  3. Step 3: Cross multiply
    14,469,843x = 31,455,654 × 31,455,654
  4. Step 4: Simplify right side
    14,469,843x = 989,458,168,567,716
  5. Step 5: Solve for x
    x = 989,458,168,567,716/14,469,843
  6. Step 6: Final answer
    x = 68,380,712.12

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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.