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Finding the Third Proportional to 52,769,901 and 80,724,201

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Solution

The third proportional to 52,769,901 and 80,724,201 is: 123,486,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769,901 : 80,724,201 = 80,724,201 : x
  2. Step 2: Convert to fraction form
    52,769,901/80,724,201 = 80,724,201/x
  3. Step 3: Cross multiply
    52,769,901x = 80,724,201 × 80,724,201
  4. Step 4: Simplify right side
    52,769,901x = 6,516,396,627,088,401
  5. Step 5: Solve for x
    x = 6,516,396,627,088,401/52,769,901
  6. Step 6: Final answer
    x = 123,486,997.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.