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Finding the Third Proportional to 74,644,026,663 and 164,502,883,239

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Solution

The third proportional to 74,644,026,663 and 164,502,883,239 is: 362,536,693,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,644,026,663 : 164,502,883,239 = 164,502,883,239 : x
  2. Step 2: Convert to fraction form
    74,644,026,663/164,502,883,239 = 164,502,883,239/x
  3. Step 3: Cross multiply
    74,644,026,663x = 164,502,883,239 × 164,502,883,239
  4. Step 4: Simplify right side
    74,644,026,663x = 27,061,198,593,944,065,146,880
  5. Step 5: Solve for x
    x = 27,061,198,593,944,065,146,880/74,644,026,663
  6. Step 6: Final answer
    x = 362,536,693,205.46

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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.