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Finding the Third Proportional to 12,563,633,680 and 27,221,093,024

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Solution

The third proportional to 12,563,633,680 and 27,221,093,024 is: 58,978,789,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563,633,680 : 27,221,093,024 = 27,221,093,024 : x
  2. Step 2: Convert to fraction form
    12,563,633,680/27,221,093,024 = 27,221,093,024/x
  3. Step 3: Cross multiply
    12,563,633,680x = 27,221,093,024 × 27,221,093,024
  4. Step 4: Simplify right side
    12,563,633,680x = 740,987,905,421,261,406,208
  5. Step 5: Solve for x
    x = 740,987,905,421,261,406,208/12,563,633,680
  6. Step 6: Final answer
    x = 58,978,789,440.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.