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Finding the Third Proportional to 25,422,538.50 and 32,642,007.75

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Solution

The third proportional to 25,422,538.50 and 32,642,007.75 is: 41,911,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422,538.50 : 32,642,007.75 = 32,642,007.75 : x
  2. Step 2: Convert to fraction form
    25,422,538.50/32,642,007.75 = 32,642,007.75/x
  3. Step 3: Cross multiply
    25,422,538.50x = 32,642,007.75 × 32,642,007.75
  4. Step 4: Simplify right side
    25,422,538.50x = 1,065,500,669,951,060
  5. Step 5: Solve for x
    x = 1,065,500,669,951,060/25,422,538.50
  6. Step 6: Final answer
    x = 41,911,655.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.