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Finding the Third Proportional to 4,693,051 and 11,302,099

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Solution

The third proportional to 4,693,051 and 11,302,099 is: 27,218,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693,051 : 11,302,099 = 11,302,099 : x
  2. Step 2: Convert to fraction form
    4,693,051/11,302,099 = 11,302,099/x
  3. Step 3: Cross multiply
    4,693,051x = 11,302,099 × 11,302,099
  4. Step 4: Simplify right side
    4,693,051x = 127,737,441,805,801
  5. Step 5: Solve for x
    x = 127,737,441,805,801/4,693,051
  6. Step 6: Final answer
    x = 27,218,421.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.