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Finding the Third Proportional to 354,638,608,338 and 529,633,996,893

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Solution

The third proportional to 354,638,608,338 and 529,633,996,893 is: 790,980,350,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638,608,338 : 529,633,996,893 = 529,633,996,893 : x
  2. Step 2: Convert to fraction form
    354,638,608,338/529,633,996,893 = 529,633,996,893/x
  3. Step 3: Cross multiply
    354,638,608,338x = 529,633,996,893 × 529,633,996,893
  4. Step 4: Simplify right side
    354,638,608,338x = 280,512,170,664,854,347,055,104
  5. Step 5: Solve for x
    x = 280,512,170,664,854,347,055,104/354,638,608,338
  6. Step 6: Final answer
    x = 790,980,350,333.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.