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Finding the Third Proportional to 6,466,149 and 10,143,432

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Solution

The third proportional to 6,466,149 and 10,143,432 is: 15,911,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466,149 : 10,143,432 = 10,143,432 : x
  2. Step 2: Convert to fraction form
    6,466,149/10,143,432 = 10,143,432/x
  3. Step 3: Cross multiply
    6,466,149x = 10,143,432 × 10,143,432
  4. Step 4: Simplify right side
    6,466,149x = 102,889,212,738,624
  5. Step 5: Solve for x
    x = 102,889,212,738,624/6,466,149
  6. Step 6: Final answer
    x = 15,911,976.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.