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Finding the Third Proportional to 354,723,883,899 and 734,591,837,766

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Solution

The third proportional to 354,723,883,899 and 734,591,837,766 is: 1,521,254,115,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,723,883,899 : 734,591,837,766 = 734,591,837,766 : x
  2. Step 2: Convert to fraction form
    354,723,883,899/734,591,837,766 = 734,591,837,766/x
  3. Step 3: Cross multiply
    354,723,883,899x = 734,591,837,766 × 734,591,837,766
  4. Step 4: Simplify right side
    354,723,883,899x = 539,625,168,112,429,287,079,936
  5. Step 5: Solve for x
    x = 539,625,168,112,429,287,079,936/354,723,883,899
  6. Step 6: Final answer
    x = 1,521,254,115,119.23

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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.