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Finding the Third Proportional to 8,416,143 and 18,406,845

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Solution

The third proportional to 8,416,143 and 18,406,845 is: 40,257,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416,143 : 18,406,845 = 18,406,845 : x
  2. Step 2: Convert to fraction form
    8,416,143/18,406,845 = 18,406,845/x
  3. Step 3: Cross multiply
    8,416,143x = 18,406,845 × 18,406,845
  4. Step 4: Simplify right side
    8,416,143x = 338,811,942,854,025
  5. Step 5: Solve for x
    x = 338,811,942,854,025/8,416,143
  6. Step 6: Final answer
    x = 40,257,389.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.