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Finding the Third Proportional to 356,448,128 and 567,179,031

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Solution

The third proportional to 356,448,128 and 567,179,031 is: 902,493,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,448,128 : 567,179,031 = 567,179,031 : x
  2. Step 2: Convert to fraction form
    356,448,128/567,179,031 = 567,179,031/x
  3. Step 3: Cross multiply
    356,448,128x = 567,179,031 × 567,179,031
  4. Step 4: Simplify right side
    356,448,128x = 321,692,053,206,098,944
  5. Step 5: Solve for x
    x = 321,692,053,206,098,944/356,448,128
  6. Step 6: Final answer
    x = 902,493,316.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.