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Finding the Third Proportional to 127,182,176 and 275,492,972

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Solution

The third proportional to 127,182,176 and 275,492,972 is: 596,753,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,182,176 : 275,492,972 = 275,492,972 : x
  2. Step 2: Convert to fraction form
    127,182,176/275,492,972 = 275,492,972/x
  3. Step 3: Cross multiply
    127,182,176x = 275,492,972 × 275,492,972
  4. Step 4: Simplify right side
    127,182,176x = 75,896,377,621,392,784
  5. Step 5: Solve for x
    x = 75,896,377,621,392,784/127,182,176
  6. Step 6: Final answer
    x = 596,753,255.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.