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Finding the Third Proportional to 15,906,406.50 and 24,321,822.75

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Solution

The third proportional to 15,906,406.50 and 24,321,822.75 is: 37,189,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906,406.50 : 24,321,822.75 = 24,321,822.75 : x
  2. Step 2: Convert to fraction form
    15,906,406.50/24,321,822.75 = 24,321,822.75/x
  3. Step 3: Cross multiply
    15,906,406.50x = 24,321,822.75 × 24,321,822.75
  4. Step 4: Simplify right side
    15,906,406.50x = 591,551,061,882,417.50
  5. Step 5: Solve for x
    x = 591,551,061,882,417.50/15,906,406.50
  6. Step 6: Final answer
    x = 37,189,484.75

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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.