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Finding the Third Proportional to 74,644,026,655.50 and 164,502,883,224

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Solution

The third proportional to 74,644,026,655.50 and 164,502,883,224 is: 362,536,693,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,644,026,655.50 : 164,502,883,224 = 164,502,883,224 : x
  2. Step 2: Convert to fraction form
    74,644,026,655.50/164,502,883,224 = 164,502,883,224/x
  3. Step 3: Cross multiply
    74,644,026,655.50x = 164,502,883,224 × 164,502,883,224
  4. Step 4: Simplify right side
    74,644,026,655.50x = 27,061,198,589,008,979,951,616
  5. Step 5: Solve for x
    x = 27,061,198,589,008,979,951,616/74,644,026,655.50
  6. Step 6: Final answer
    x = 362,536,693,175.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.