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Finding the Third Proportional to 8,101,105 and 19,123,421

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Solution

The third proportional to 8,101,105 and 19,123,421 is: 45,142,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101,105 : 19,123,421 = 19,123,421 : x
  2. Step 2: Convert to fraction form
    8,101,105/19,123,421 = 19,123,421/x
  3. Step 3: Cross multiply
    8,101,105x = 19,123,421 × 19,123,421
  4. Step 4: Simplify right side
    8,101,105x = 365,705,230,743,241
  5. Step 5: Solve for x
    x = 365,705,230,743,241/8,101,105
  6. Step 6: Final answer
    x = 45,142,635.57

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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.