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Finding the Third Proportional to 62,375,827,041 and 136,181,883,843

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Solution

The third proportional to 62,375,827,041 and 136,181,883,843 is: 297,318,791,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,375,827,041 : 136,181,883,843 = 136,181,883,843 : x
  2. Step 2: Convert to fraction form
    62,375,827,041/136,181,883,843 = 136,181,883,843/x
  3. Step 3: Cross multiply
    62,375,827,041x = 136,181,883,843 × 136,181,883,843
  4. Step 4: Simplify right side
    62,375,827,041x = 18,545,505,487,028,343,537,664
  5. Step 5: Solve for x
    x = 18,545,505,487,028,343,537,664/62,375,827,041
  6. Step 6: Final answer
    x = 297,318,791,057.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.