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Finding the Third Proportional to 7,960,579 and 17,410,478

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Solution

The third proportional to 7,960,579 and 17,410,478 is: 38,078,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960,579 : 17,410,478 = 17,410,478 : x
  2. Step 2: Convert to fraction form
    7,960,579/17,410,478 = 17,410,478/x
  3. Step 3: Cross multiply
    7,960,579x = 17,410,478 × 17,410,478
  4. Step 4: Simplify right side
    7,960,579x = 303,124,744,188,484
  5. Step 5: Solve for x
    x = 303,124,744,188,484/7,960,579
  6. Step 6: Final answer
    x = 38,078,228.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.