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Finding the Third Proportional to 354,638,608,311 and 529,633,996,854

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Solution

The third proportional to 354,638,608,311 and 529,633,996,854 is: 790,980,350,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638,608,311 : 529,633,996,854 = 529,633,996,854 : x
  2. Step 2: Convert to fraction form
    354,638,608,311/529,633,996,854 = 529,633,996,854/x
  3. Step 3: Cross multiply
    354,638,608,311x = 529,633,996,854 × 529,633,996,854
  4. Step 4: Simplify right side
    354,638,608,311x = 280,512,170,623,542,868,574,208
  5. Step 5: Solve for x
    x = 280,512,170,623,542,868,574,208/354,638,608,311
  6. Step 6: Final answer
    x = 790,980,350,276.89

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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.