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Finding the Third Proportional to 354,638,608,316 and 529,633,996,861

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Solution

The third proportional to 354,638,608,316 and 529,633,996,861 is: 790,980,350,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638,608,316 : 529,633,996,861 = 529,633,996,861 : x
  2. Step 2: Convert to fraction form
    354,638,608,316/529,633,996,861 = 529,633,996,861/x
  3. Step 3: Cross multiply
    354,638,608,316x = 529,633,996,861 × 529,633,996,861
  4. Step 4: Simplify right side
    354,638,608,316x = 280,512,170,630,957,760,512,000
  5. Step 5: Solve for x
    x = 280,512,170,630,957,760,512,000/354,638,608,316
  6. Step 6: Final answer
    x = 790,980,350,286.64

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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.