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Finding the Third Proportional to 468,348,084,181 and 631,911,522,723

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Solution

The third proportional to 468,348,084,181 and 631,911,522,723 is: 852,597,002,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,348,084,181 : 631,911,522,723 = 631,911,522,723 : x
  2. Step 2: Convert to fraction form
    468,348,084,181/631,911,522,723 = 631,911,522,723/x
  3. Step 3: Cross multiply
    468,348,084,181x = 631,911,522,723 × 631,911,522,723
  4. Step 4: Simplify right side
    468,348,084,181x = 399,312,172,550,100,575,322,112
  5. Step 5: Solve for x
    x = 399,312,172,550,100,575,322,112/468,348,084,181
  6. Step 6: Final answer
    x = 852,597,002,181.35

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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.