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Finding the Third Proportional to 354,723,883,884 and 734,591,837,736

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Solution

The third proportional to 354,723,883,884 and 734,591,837,736 is: 1,521,254,115,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,723,883,884 : 734,591,837,736 = 734,591,837,736 : x
  2. Step 2: Convert to fraction form
    354,723,883,884/734,591,837,736 = 734,591,837,736/x
  3. Step 3: Cross multiply
    354,723,883,884x = 734,591,837,736 × 734,591,837,736
  4. Step 4: Simplify right side
    354,723,883,884x = 539,625,168,068,353,728,708,608
  5. Step 5: Solve for x
    x = 539,625,168,068,353,728,708,608/354,723,883,884
  6. Step 6: Final answer
    x = 1,521,254,115,059.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.