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Finding the Third Proportional to 354,638,608,320 and 529,633,996,867

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Solution

The third proportional to 354,638,608,320 and 529,633,996,867 is: 790,980,350,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638,608,320 : 529,633,996,867 = 529,633,996,867 : x
  2. Step 2: Convert to fraction form
    354,638,608,320/529,633,996,867 = 529,633,996,867/x
  3. Step 3: Cross multiply
    354,638,608,320x = 529,633,996,867 × 529,633,996,867
  4. Step 4: Simplify right side
    354,638,608,320x = 280,512,170,637,313,372,585,984
  5. Step 5: Solve for x
    x = 280,512,170,637,313,372,585,984/354,638,608,320
  6. Step 6: Final answer
    x = 790,980,350,295.64

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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.