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Finding the Third Proportional to 51,771,397,844 and 111,405,996,724

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Solution

The third proportional to 51,771,397,844 and 111,405,996,724 is: 239,732,682,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,771,397,844 : 111,405,996,724 = 111,405,996,724 : x
  2. Step 2: Convert to fraction form
    51,771,397,844/111,405,996,724 = 111,405,996,724/x
  3. Step 3: Cross multiply
    51,771,397,844x = 111,405,996,724 × 111,405,996,724
  4. Step 4: Simplify right side
    51,771,397,844x = 12,411,296,106,067,898,925,056
  5. Step 5: Solve for x
    x = 12,411,296,106,067,898,925,056/51,771,397,844
  6. Step 6: Final answer
    x = 239,732,682,966.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.