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Finding the Third Proportional to 151,187,820,822 and 323,940,519,720

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Solution

The third proportional to 151,187,820,822 and 323,940,519,720 is: 694,086,730,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,187,820,822 : 323,940,519,720 = 323,940,519,720 : x
  2. Step 2: Convert to fraction form
    151,187,820,822/323,940,519,720 = 323,940,519,720/x
  3. Step 3: Cross multiply
    151,187,820,822x = 323,940,519,720 × 323,940,519,720
  4. Step 4: Simplify right side
    151,187,820,822x = 104,937,460,316,463,714,795,520
  5. Step 5: Solve for x
    x = 104,937,460,316,463,714,795,520/151,187,820,822
  6. Step 6: Final answer
    x = 694,086,730,967.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.