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Finding the Third Proportional to 11,701,543.50 and 18,189,415.69

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Solution

The third proportional to 11,701,543.50 and 18,189,415.69 is: 28,274,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701,543.50 : 18,189,415.69 = 18,189,415.69 : x
  2. Step 2: Convert to fraction form
    11,701,543.50/18,189,415.69 = 18,189,415.69/x
  3. Step 3: Cross multiply
    11,701,543.50x = 18,189,415.69 × 18,189,415.69
  4. Step 4: Simplify right side
    11,701,543.50x = 330,854,843,052,671.12
  5. Step 5: Solve for x
    x = 330,854,843,052,671.12/11,701,543.50
  6. Step 6: Final answer
    x = 28,274,461.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.