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Finding the Third Proportional to 3,449,893,741 and 7,504,244,553

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Solution

The third proportional to 3,449,893,741 and 7,504,244,553 is: 16,323,310,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449,893,741 : 7,504,244,553 = 7,504,244,553 : x
  2. Step 2: Convert to fraction form
    3,449,893,741/7,504,244,553 = 7,504,244,553/x
  3. Step 3: Cross multiply
    3,449,893,741x = 7,504,244,553 × 7,504,244,553
  4. Step 4: Simplify right side
    3,449,893,741x = 56,313,686,311,230,169,088
  5. Step 5: Solve for x
    x = 56,313,686,311,230,169,088/3,449,893,741
  6. Step 6: Final answer
    x = 16,323,310,379.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.