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Finding the Third Proportional to 42,678,675 and 100,715,310

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Solution

The third proportional to 42,678,675 and 100,715,310 is: 237,673,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,678,675 : 100,715,310 = 100,715,310 : x
  2. Step 2: Convert to fraction form
    42,678,675/100,715,310 = 100,715,310/x
  3. Step 3: Cross multiply
    42,678,675x = 100,715,310 × 100,715,310
  4. Step 4: Simplify right side
    42,678,675x = 10,143,573,668,396,100
  5. Step 5: Solve for x
    x = 10,143,573,668,396,100/42,678,675
  6. Step 6: Final answer
    x = 237,673,115.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.