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Finding the Third Proportional to 39,933,567 and 57,065,998.50

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Solution

The third proportional to 39,933,567 and 57,065,998.50 is: 81,548,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,933,567 : 57,065,998.50 = 57,065,998.50 : x
  2. Step 2: Convert to fraction form
    39,933,567/57,065,998.50 = 57,065,998.50/x
  3. Step 3: Cross multiply
    39,933,567x = 57,065,998.50 × 57,065,998.50
  4. Step 4: Simplify right side
    39,933,567x = 3,256,528,184,802,002
  5. Step 5: Solve for x
    x = 3,256,528,184,802,002/39,933,567
  6. Step 6: Final answer
    x = 81,548,642.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.