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Finding the Third Proportional to 5,243,628,726 and 11,235,194,225

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Solution

The third proportional to 5,243,628,726 and 11,235,194,225 is: 24,072,945,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243,628,726 : 11,235,194,225 = 11,235,194,225 : x
  2. Step 2: Convert to fraction form
    5,243,628,726/11,235,194,225 = 11,235,194,225/x
  3. Step 3: Cross multiply
    5,243,628,726x = 11,235,194,225 × 11,235,194,225
  4. Step 4: Simplify right side
    5,243,628,726x = 126,229,589,273,473,351,680
  5. Step 5: Solve for x
    x = 126,229,589,273,473,351,680/5,243,628,726
  6. Step 6: Final answer
    x = 24,072,945,639.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.