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Finding the Third Proportional to 11,345,520,406 and 17,428,108,577

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Solution

The third proportional to 11,345,520,406 and 17,428,108,577 is: 26,771,708,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345,520,406 : 17,428,108,577 = 17,428,108,577 : x
  2. Step 2: Convert to fraction form
    11,345,520,406/17,428,108,577 = 17,428,108,577/x
  3. Step 3: Cross multiply
    11,345,520,406x = 17,428,108,577 × 17,428,108,577
  4. Step 4: Simplify right side
    11,345,520,406x = 303,738,968,571,700,969,472
  5. Step 5: Solve for x
    x = 303,738,968,571,700,969,472/11,345,520,406
  6. Step 6: Final answer
    x = 26,771,708,806.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.