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Finding the Third Proportional to 69,317,632 and 150,194,024

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Solution

The third proportional to 69,317,632 and 150,194,024 is: 325,432,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,317,632 : 150,194,024 = 150,194,024 : x
  2. Step 2: Convert to fraction form
    69,317,632/150,194,024 = 150,194,024/x
  3. Step 3: Cross multiply
    69,317,632x = 150,194,024 × 150,194,024
  4. Step 4: Simplify right side
    69,317,632x = 22,558,244,845,312,576
  5. Step 5: Solve for x
    x = 22,558,244,845,312,576/69,317,632
  6. Step 6: Final answer
    x = 325,432,998.71

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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.