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Finding the Third Proportional to 5,224,213,536 and 11,366,722,128

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Solution

The third proportional to 5,224,213,536 and 11,366,722,128 is: 24,731,449,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,213,536 : 11,366,722,128 = 11,366,722,128 : x
  2. Step 2: Convert to fraction form
    5,224,213,536/11,366,722,128 = 11,366,722,128/x
  3. Step 3: Cross multiply
    5,224,213,536x = 11,366,722,128 × 11,366,722,128
  4. Step 4: Simplify right side
    5,224,213,536x = 129,202,371,935,164,841,984
  5. Step 5: Solve for x
    x = 129,202,371,935,164,841,984/5,224,213,536
  6. Step 6: Final answer
    x = 24,731,449,249.70

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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.