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Finding the Third Proportional to 84,727,728 and 126,977,760

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Solution

The third proportional to 84,727,728 and 126,977,760 is: 190,296,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,727,728 : 126,977,760 = 126,977,760 : x
  2. Step 2: Convert to fraction form
    84,727,728/126,977,760 = 126,977,760/x
  3. Step 3: Cross multiply
    84,727,728x = 126,977,760 × 126,977,760
  4. Step 4: Simplify right side
    84,727,728x = 16,123,351,534,617,600
  5. Step 5: Solve for x
    x = 16,123,351,534,617,600/84,727,728
  6. Step 6: Final answer
    x = 190,296,044.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.