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Finding the Third Proportional to 17,082,628,803,830 and 37,428,849,443,613

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Solution

The third proportional to 17,082,628,803,830 and 37,428,849,443,613 is: 82,008,383,297,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082,628,803,830 : 37,428,849,443,613 = 37,428,849,443,613 : x
  2. Step 2: Convert to fraction form
    17,082,628,803,830/37,428,849,443,613 = 37,428,849,443,613/x
  3. Step 3: Cross multiply
    17,082,628,803,830x = 37,428,849,443,613 × 37,428,849,443,613
  4. Step 4: Simplify right side
    17,082,628,803,830x = 1,400,918,770,672,649,112,138,022,912
  5. Step 5: Solve for x
    x = 1,400,918,770,672,649,112,138,022,912/17,082,628,803,830
  6. Step 6: Final answer
    x = 82,008,383,297,455.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.