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Finding the Third Proportional to 42,048,744 and 93,228,456

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Solution

The third proportional to 42,048,744 and 93,228,456 is: 206,701,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048,744 : 93,228,456 = 93,228,456 : x
  2. Step 2: Convert to fraction form
    42,048,744/93,228,456 = 93,228,456/x
  3. Step 3: Cross multiply
    42,048,744x = 93,228,456 × 93,228,456
  4. Step 4: Simplify right side
    42,048,744x = 8,691,545,008,143,936
  5. Step 5: Solve for x
    x = 8,691,545,008,143,936/42,048,744
  6. Step 6: Final answer
    x = 206,701,655.78

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.