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Finding the Third Proportional to 10,416,842 and 22,850,665

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Solution

The third proportional to 10,416,842 and 22,850,665 is: 50,125,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416,842 : 22,850,665 = 22,850,665 : x
  2. Step 2: Convert to fraction form
    10,416,842/22,850,665 = 22,850,665/x
  3. Step 3: Cross multiply
    10,416,842x = 22,850,665 × 22,850,665
  4. Step 4: Simplify right side
    10,416,842x = 522,152,890,942,225
  5. Step 5: Solve for x
    x = 522,152,890,942,225/10,416,842
  6. Step 6: Final answer
    x = 50,125,833.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.