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Finding the Third Proportional to 57,429,049 and 126,016,536

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Solution

The third proportional to 57,429,049 and 126,016,536 is: 276,518,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429,049 : 126,016,536 = 126,016,536 : x
  2. Step 2: Convert to fraction form
    57,429,049/126,016,536 = 126,016,536/x
  3. Step 3: Cross multiply
    57,429,049x = 126,016,536 × 126,016,536
  4. Step 4: Simplify right side
    57,429,049x = 15,880,167,345,439,296
  5. Step 5: Solve for x
    x = 15,880,167,345,439,296/57,429,049
  6. Step 6: Final answer
    x = 276,518,027.41

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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.