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Finding the Third Proportional to 468,348,084,177 and 631,911,522,717

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Solution

The third proportional to 468,348,084,177 and 631,911,522,717 is: 852,597,002,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,348,084,177 : 631,911,522,717 = 631,911,522,717 : x
  2. Step 2: Convert to fraction form
    468,348,084,177/631,911,522,717 = 631,911,522,717/x
  3. Step 3: Cross multiply
    468,348,084,177x = 631,911,522,717 × 631,911,522,717
  4. Step 4: Simplify right side
    468,348,084,177x = 399,312,172,542,517,609,234,432
  5. Step 5: Solve for x
    x = 399,312,172,542,517,609,234,432/468,348,084,177
  6. Step 6: Final answer
    x = 852,597,002,172.44

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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.