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Finding the Third Proportional to 10,257,157.50 and 16,241,947.50

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Solution

The third proportional to 10,257,157.50 and 16,241,947.50 is: 25,718,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,157.50 : 16,241,947.50 = 16,241,947.50 : x
  2. Step 2: Convert to fraction form
    10,257,157.50/16,241,947.50 = 16,241,947.50/x
  3. Step 3: Cross multiply
    10,257,157.50x = 16,241,947.50 × 16,241,947.50
  4. Step 4: Simplify right side
    10,257,157.50x = 263,800,858,592,756.25
  5. Step 5: Solve for x
    x = 263,800,858,592,756.25/10,257,157.50
  6. Step 6: Final answer
    x = 25,718,709.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.