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Finding the Third Proportional to 468,348,084,179 and 631,911,522,720

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Solution

The third proportional to 468,348,084,179 and 631,911,522,720 is: 852,597,002,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,348,084,179 : 631,911,522,720 = 631,911,522,720 : x
  2. Step 2: Convert to fraction form
    468,348,084,179/631,911,522,720 = 631,911,522,720/x
  3. Step 3: Cross multiply
    468,348,084,179x = 631,911,522,720 × 631,911,522,720
  4. Step 4: Simplify right side
    468,348,084,179x = 399,312,172,546,309,058,723,840
  5. Step 5: Solve for x
    x = 399,312,172,546,309,058,723,840/468,348,084,179
  6. Step 6: Final answer
    x = 852,597,002,176.90

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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.