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Finding the Third Proportional to 181,385,452,027 and 392,953,381,533

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Solution

The third proportional to 181,385,452,027 and 392,953,381,533 is: 851,294,072,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,385,452,027 : 392,953,381,533 = 392,953,381,533 : x
  2. Step 2: Convert to fraction form
    181,385,452,027/392,953,381,533 = 392,953,381,533/x
  3. Step 3: Cross multiply
    181,385,452,027x = 392,953,381,533 × 392,953,381,533
  4. Step 4: Simplify right side
    181,385,452,027x = 154,412,360,058,219,450,597,376
  5. Step 5: Solve for x
    x = 154,412,360,058,219,450,597,376/181,385,452,027
  6. Step 6: Final answer
    x = 851,294,072,003.28

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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.