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Finding the Third Proportional to 14,189,802 and 31,126,477

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Solution

The third proportional to 14,189,802 and 31,126,477 is: 68,278,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189,802 : 31,126,477 = 31,126,477 : x
  2. Step 2: Convert to fraction form
    14,189,802/31,126,477 = 31,126,477/x
  3. Step 3: Cross multiply
    14,189,802x = 31,126,477 × 31,126,477
  4. Step 4: Simplify right side
    14,189,802x = 968,857,570,431,529
  5. Step 5: Solve for x
    x = 968,857,570,431,529/14,189,802
  6. Step 6: Final answer
    x = 68,278,441.83

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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.