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Finding the Third Proportional to 7,129,496 and 10,728,320

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Solution

The third proportional to 7,129,496 and 10,728,320 is: 16,143,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,496 : 10,728,320 = 10,728,320 : x
  2. Step 2: Convert to fraction form
    7,129,496/10,728,320 = 10,728,320/x
  3. Step 3: Cross multiply
    7,129,496x = 10,728,320 × 10,728,320
  4. Step 4: Simplify right side
    7,129,496x = 115,096,850,022,400
  5. Step 5: Solve for x
    x = 115,096,850,022,400/7,129,496
  6. Step 6: Final answer
    x = 16,143,756.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.