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Finding the Third Proportional to 62,478,736,992 and 95,179,900,398.75

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Solution

The third proportional to 62,478,736,992 and 95,179,900,398.75 is: 144,996,744,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,478,736,992 : 95,179,900,398.75 = 95,179,900,398.75 : x
  2. Step 2: Convert to fraction form
    62,478,736,992/95,179,900,398.75 = 95,179,900,398.75/x
  3. Step 3: Cross multiply
    62,478,736,992x = 95,179,900,398.75 × 95,179,900,398.75
  4. Step 4: Simplify right side
    62,478,736,992x = 9,059,213,439,915,970,789,376
  5. Step 5: Solve for x
    x = 9,059,213,439,915,970,789,376/62,478,736,992
  6. Step 6: Final answer
    x = 144,996,744,109.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.