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Finding the Third Proportional to 23,842,541 and 51,496,195

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Solution

The third proportional to 23,842,541 and 51,496,195 is: 111,223,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842,541 : 51,496,195 = 51,496,195 : x
  2. Step 2: Convert to fraction form
    23,842,541/51,496,195 = 51,496,195/x
  3. Step 3: Cross multiply
    23,842,541x = 51,496,195 × 51,496,195
  4. Step 4: Simplify right side
    23,842,541x = 2,651,858,099,478,025
  5. Step 5: Solve for x
    x = 2,651,858,099,478,025/23,842,541
  6. Step 6: Final answer
    x = 111,223,803.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.