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Finding the Third Proportional to 20,426,766 and 31,671,765

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Solution

The third proportional to 20,426,766 and 31,671,765 is: 49,107,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426,766 : 31,671,765 = 31,671,765 : x
  2. Step 2: Convert to fraction form
    20,426,766/31,671,765 = 31,671,765/x
  3. Step 3: Cross multiply
    20,426,766x = 31,671,765 × 31,671,765
  4. Step 4: Simplify right side
    20,426,766x = 1,003,100,698,215,225
  5. Step 5: Solve for x
    x = 1,003,100,698,215,225/20,426,766
  6. Step 6: Final answer
    x = 49,107,171.36

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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.