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Finding the Third Proportional to 354,638,608,324 and 529,633,996,872

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Solution

The third proportional to 354,638,608,324 and 529,633,996,872 is: 790,980,350,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638,608,324 : 529,633,996,872 = 529,633,996,872 : x
  2. Step 2: Convert to fraction form
    354,638,608,324/529,633,996,872 = 529,633,996,872/x
  3. Step 3: Cross multiply
    354,638,608,324x = 529,633,996,872 × 529,633,996,872
  4. Step 4: Simplify right side
    354,638,608,324x = 280,512,170,642,609,704,796,160
  5. Step 5: Solve for x
    x = 280,512,170,642,609,704,796,160/354,638,608,324
  6. Step 6: Final answer
    x = 790,980,350,301.66

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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.