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Finding the Third Proportional to 9,505,080 and 22,431,024

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Solution

The third proportional to 9,505,080 and 22,431,024 is: 52,934,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505,080 : 22,431,024 = 22,431,024 : x
  2. Step 2: Convert to fraction form
    9,505,080/22,431,024 = 22,431,024/x
  3. Step 3: Cross multiply
    9,505,080x = 22,431,024 × 22,431,024
  4. Step 4: Simplify right side
    9,505,080x = 503,150,837,688,576
  5. Step 5: Solve for x
    x = 503,150,837,688,576/9,505,080
  6. Step 6: Final answer
    x = 52,934,939.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.