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Finding the Third Proportional to 4,272,639,650,780 and 5,764,794,081,364

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Solution

The third proportional to 4,272,639,650,780 and 5,764,794,081,364 is: 7,778,060,757,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272,639,650,780 : 5,764,794,081,364 = 5,764,794,081,364 : x
  2. Step 2: Convert to fraction form
    4,272,639,650,780/5,764,794,081,364 = 5,764,794,081,364/x
  3. Step 3: Cross multiply
    4,272,639,650,780x = 5,764,794,081,364 × 5,764,794,081,364
  4. Step 4: Simplify right side
    4,272,639,650,780x = 33,232,850,800,529,405,313,548,288
  5. Step 5: Solve for x
    x = 33,232,850,800,529,405,313,548,288/4,272,639,650,780
  6. Step 6: Final answer
    x = 7,778,060,757,935.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.