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Finding the Third Proportional to 10,021,760 and 15,493,200

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Solution

The third proportional to 10,021,760 and 15,493,200 is: 23,951,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021,760 : 15,493,200 = 15,493,200 : x
  2. Step 2: Convert to fraction form
    10,021,760/15,493,200 = 15,493,200/x
  3. Step 3: Cross multiply
    10,021,760x = 15,493,200 × 15,493,200
  4. Step 4: Simplify right side
    10,021,760x = 240,039,246,240,000
  5. Step 5: Solve for x
    x = 240,039,246,240,000/10,021,760
  6. Step 6: Final answer
    x = 23,951,805.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.