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Finding the Third Proportional to 52,769,956.50 and 80,724,282.75

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Solution

The third proportional to 52,769,956.50 and 80,724,282.75 is: 123,487,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769,956.50 : 80,724,282.75 = 80,724,282.75 : x
  2. Step 2: Convert to fraction form
    52,769,956.50/80,724,282.75 = 80,724,282.75/x
  3. Step 3: Cross multiply
    52,769,956.50x = 80,724,282.75 × 80,724,282.75
  4. Step 4: Simplify right side
    52,769,956.50x = 6,516,409,825,501,948
  5. Step 5: Solve for x
    x = 6,516,409,825,501,948/52,769,956.50
  6. Step 6: Final answer
    x = 123,487,117.63

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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.