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Finding the Third Proportional to 20,878,794 and 31,942,224

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Solution

The third proportional to 20,878,794 and 31,942,224 is: 48,868,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878,794 : 31,942,224 = 31,942,224 : x
  2. Step 2: Convert to fraction form
    20,878,794/31,942,224 = 31,942,224/x
  3. Step 3: Cross multiply
    20,878,794x = 31,942,224 × 31,942,224
  4. Step 4: Simplify right side
    20,878,794x = 1,020,305,674,066,176
  5. Step 5: Solve for x
    x = 1,020,305,674,066,176/20,878,794
  6. Step 6: Final answer
    x = 48,868,036.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.