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Finding the Third Proportional to 49,431,024 and 107,649,720

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Solution

The third proportional to 49,431,024 and 107,649,720 is: 234,437,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,431,024 : 107,649,720 = 107,649,720 : x
  2. Step 2: Convert to fraction form
    49,431,024/107,649,720 = 107,649,720/x
  3. Step 3: Cross multiply
    49,431,024x = 107,649,720 × 107,649,720
  4. Step 4: Simplify right side
    49,431,024x = 11,588,462,216,078,400
  5. Step 5: Solve for x
    x = 11,588,462,216,078,400/49,431,024
  6. Step 6: Final answer
    x = 234,437,025.14

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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.