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Finding the Third Proportional to 11,893,645.13 and 18,903,835.69

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Solution

The third proportional to 11,893,645.13 and 18,903,835.69 is: 30,045,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893,645.13 : 18,903,835.69 = 18,903,835.69 : x
  2. Step 2: Convert to fraction form
    11,893,645.13/18,903,835.69 = 18,903,835.69/x
  3. Step 3: Cross multiply
    11,893,645.13x = 18,903,835.69 × 18,903,835.69
  4. Step 4: Simplify right side
    11,893,645.13x = 357,355,003,699,998.62
  5. Step 5: Solve for x
    x = 357,355,003,699,998.62/11,893,645.13
  6. Step 6: Final answer
    x = 30,045,877.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.