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Finding the Third Proportional to 20,610,977 and 31,400,010

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Solution

The third proportional to 20,610,977 and 31,400,010 is: 47,836,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,610,977 : 31,400,010 = 31,400,010 : x
  2. Step 2: Convert to fraction form
    20,610,977/31,400,010 = 31,400,010/x
  3. Step 3: Cross multiply
    20,610,977x = 31,400,010 × 31,400,010
  4. Step 4: Simplify right side
    20,610,977x = 985,960,628,000,100
  5. Step 5: Solve for x
    x = 985,960,628,000,100/20,610,977
  6. Step 6: Final answer
    x = 47,836,675.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.