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Finding the Third Proportional to 10,302,228 and 22,375,848

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Solution

The third proportional to 10,302,228 and 22,375,848 is: 48,599,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302,228 : 22,375,848 = 22,375,848 : x
  2. Step 2: Convert to fraction form
    10,302,228/22,375,848 = 22,375,848/x
  3. Step 3: Cross multiply
    10,302,228x = 22,375,848 × 22,375,848
  4. Step 4: Simplify right side
    10,302,228x = 500,678,573,719,104
  5. Step 5: Solve for x
    x = 500,678,573,719,104/10,302,228
  6. Step 6: Final answer
    x = 48,599,057.77

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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.