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Finding the Third Proportional to 5,224,213,528 and 11,366,722,112

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Solution

The third proportional to 5,224,213,528 and 11,366,722,112 is: 24,731,449,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,213,528 : 11,366,722,112 = 11,366,722,112 : x
  2. Step 2: Convert to fraction form
    5,224,213,528/11,366,722,112 = 11,366,722,112/x
  3. Step 3: Cross multiply
    5,224,213,528x = 11,366,722,112 × 11,366,722,112
  4. Step 4: Simplify right side
    5,224,213,528x = 129,202,371,571,429,736,448
  5. Step 5: Solve for x
    x = 129,202,371,571,429,736,448/5,224,213,528
  6. Step 6: Final answer
    x = 24,731,449,217.94

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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.