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Finding the Third Proportional to 4,626,147 and 10,024,565

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Solution

The third proportional to 4,626,147 and 10,024,565 is: 21,722,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626,147 : 10,024,565 = 10,024,565 : x
  2. Step 2: Convert to fraction form
    4,626,147/10,024,565 = 10,024,565/x
  3. Step 3: Cross multiply
    4,626,147x = 10,024,565 × 10,024,565
  4. Step 4: Simplify right side
    4,626,147x = 100,491,903,439,225
  5. Step 5: Solve for x
    x = 100,491,903,439,225/4,626,147
  6. Step 6: Final answer
    x = 21,722,591.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.