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Finding the Third Proportional to 57,666,073 and 126,285,733

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Solution

The third proportional to 57,666,073 and 126,285,733 is: 276,559,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,666,073 : 126,285,733 = 126,285,733 : x
  2. Step 2: Convert to fraction form
    57,666,073/126,285,733 = 126,285,733/x
  3. Step 3: Cross multiply
    57,666,073x = 126,285,733 × 126,285,733
  4. Step 4: Simplify right side
    57,666,073x = 15,948,086,359,347,288
  5. Step 5: Solve for x
    x = 15,948,086,359,347,288/57,666,073
  6. Step 6: Final answer
    x = 276,559,257.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.