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Finding the Third Proportional to 36,805,999.50 and 77,419,579.50

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Solution

The third proportional to 36,805,999.50 and 77,419,579.50 is: 162,848,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,805,999.50 : 77,419,579.50 = 77,419,579.50 : x
  2. Step 2: Convert to fraction form
    36,805,999.50/77,419,579.50 = 77,419,579.50/x
  3. Step 3: Cross multiply
    36,805,999.50x = 77,419,579.50 × 77,419,579.50
  4. Step 4: Simplify right side
    36,805,999.50x = 5,993,791,289,956,820
  5. Step 5: Solve for x
    x = 5,993,791,289,956,820/36,805,999.50
  6. Step 6: Final answer
    x = 162,848,214.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.