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Finding the Third Proportional to 31,023,703 and 68,201,623

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Solution

The third proportional to 31,023,703 and 68,201,623 is: 149,932,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023,703 : 68,201,623 = 68,201,623 : x
  2. Step 2: Convert to fraction form
    31,023,703/68,201,623 = 68,201,623/x
  3. Step 3: Cross multiply
    31,023,703x = 68,201,623 × 68,201,623
  4. Step 4: Simplify right side
    31,023,703x = 4,651,461,379,834,129
  5. Step 5: Solve for x
    x = 4,651,461,379,834,129/31,023,703
  6. Step 6: Final answer
    x = 149,932,500.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.