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Finding the Third Proportional to 354,437,635,932 and 762,632,284,446

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Solution

The third proportional to 354,437,635,932 and 762,632,284,446 is: 1,640,931,837,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,437,635,932 : 762,632,284,446 = 762,632,284,446 : x
  2. Step 2: Convert to fraction form
    354,437,635,932/762,632,284,446 = 762,632,284,446/x
  3. Step 3: Cross multiply
    354,437,635,932x = 762,632,284,446 × 762,632,284,446
  4. Step 4: Simplify right side
    354,437,635,932x = 581,608,001,279,324,684,550,144
  5. Step 5: Solve for x
    x = 581,608,001,279,324,684,550,144/354,437,635,932
  6. Step 6: Final answer
    x = 1,640,931,837,698.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.